Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is Ja x bl |a| where a = QR and b = QP. Use the above formula to find the distance from the point to the given line. (0, 3, 3); x = 2t, y = 4 - 2t, z = 3 +t d =

Q: (d). Consider the line y = ax , where a is a positive constant. What is the shortest distance…

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Q: Given that, when а — —1, у — 21; х — 1, у — 21; х — 2, у — 63; 21; x = - and that the line of best…

A: Given  x=-1, y=21x=1, y=21x=2, y=63

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: The straight line lx+my+n=0 bisects an angle between the pair of lines which one is px+qy+r=0.Show…

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Q: Given the point S(2, -1, -7) and the line x = 2+ 3t ; y 1+ t; z 3+ 4t Find the distance from the…

A: Hey we have to find out the distance between the point and the line.

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Find the distance between the point (-3, 1, 5) and the line given by x = 5+t, y = 1- 2t, and z = 3-…

A: Given : Point A ( -3,1,5) x = 5+t  y=1-2t  z=3-t

Q: ) Find an equetionof tue tenyent line to the greph of d= In(x') at the point (l,0). Angwery8 a) y*-5…

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Q: Given that, when z =-1, y = 119; z= 1, y= 119; z= 2, y = 357; and that the line of best fit for…

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Q: Find the points on the line nhere the ta x(t)%3D t3 - 3t +2, Y (t) =3-3t?+2

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Q: Find the distance from the point (1, 2, 0) to the line æ = 3t, y= 1, z= 2 – t.

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Q: The slope of the line tangent to the graph of 3x +5In y 12 at (2, 1) is 12 (A) 12 (B) 5. (C) 12 4.

A: Given that 3x2+5lny=12To find : Slope of the tangent line at point 2,1Solution :

Q: Find the distance from the point (2, 1, –1) to the line z = 2+ 2t, y = 1+ 6t, z = 3. Lütfen birini…

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Q: the straight line lx+my+n=0 bisects an angle between the pair of lines of which one is…

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Q: Find the distance from the point S(1, 1, 5) to the line L: x = 1 + t, y = 3 – t, z = 2t.

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Q: et L be the line defined as L:x = 4 – 4t, y = -7+t, z= a+ bt, te R

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: x = 5 +t, y = -1, z = 8+ 2t х — 2 у—2 2+1 3 -1 4

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Q: For what values of a and b is the line 2x +y= b tangent to the curve y = ax' when x = -5? a = b =…

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Find the distance from the point S(0,0,12) to the line L: x = 4t , y=-2t z = 2t

A: Write the vector of the given line using x=4t, y=-2t, and z=2t. L→=xi→+yj→+zk→   =4ti→+-2tj→+2tk→…

Q: Q10) Compute the length and the bearing of the perpendicular line that falling down from point R…

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Find the value of p for which the lines 2x + 3y – 7 = 0 and 4y – px – 12 = 0 are perpendicular to…

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Q: Find x'z ds, where C is the line segment from (0,2,-3) to (6,0,-6) C

A: To find:∫Cx2z dsThe line segment is from 0, 2, -3 to 6, 0, -6

Q: The line y = kr + 4, where k is a constant, is graphed in the xy-plane. If the line contains the…

A: Given line is: y = kx + 4 ................... (1) The line contains the point (c, d). Then (c, d)…

Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

A: We have to find the distance between the point P and the line L.

Q: Show that the two lines X= 2+ St J= 4 - 36 Z: 5+t X= 1+4t and y= 5-4t Z: -1+ SE skew Rind the…

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

A: Given two lines, x=2-t, y=3+3t, z=4+3tAnd x=5t, y=1-15t, z=4-15tThat isx-2-1=y-33=z-43=t…

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: For what values of a and b is the line-5x +y b tangent to the curve y = ax when x = 37 a = b D %3D…

A: Given: Equation of line is -5x+y=b. Equation of curve is y = ax3 .

Q: Find the length of the line given by r(t) = (7t,10t) for a sts b. The length of the line is

A: In this question, we need to find the length of the given line.

Q: Find the distance between the given point Q and the given line. Q(- 9, 1, 10); x= - 5+ 3t, y = 1-t,…

A: Given that, the point is Q-9,1,10 and x=-5+3t, y=1-t and z=7+4t. Obtain the value of rt=xi+yj+zk.…

Q: Given the point S(2, 2, –5) and the line x = 2+ 3t ; y= 3 + t; z=1– 2t Find the distance from the…

A: Given that the point S(2,2,-5) and the line x=2+3t; y=3+t; z=1-2t . Here we have to find the…

Q: 2. Find the distance between the parallel lines: L: 2x- 5 y + 3 = 0 ; (Hint: It suffices to compute…

A: Consider the given equations of the lines, L1: 2x-5y+3=0 and L2: 2x-5y+7=0 The formula of the…

Q: 2. Find for x? +x+ y? +2 3xy the lines that are tangent and normal to the curve at point (3,2).

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Q: Given that the line kx − y = 4 is perpendicular to the line kx + 9y = 11, find the value of k

A: Given query is to find the value of k.

Q: Find a distance from the point S(1,1,5) to the line x=1+t, y=3-t,and z= 2t

A: We need to find the distance of the point (1,1,5) and the given line.

Q: Find the distance from the point (0,0, 0) to the line a = 5 + 3t, y = 5+ 4t, z =-3 - 5t. Lütfen…

A: Definition used -              If we have a parametric equation of a line-…

Q: If B is the midpoint of AC, with point A at (5, 2) and point C at (9, 0), what is the equation of…

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Q: Consider the line y = ax , where a is a positive constant. What is the shorteşt. distance between…

A: We need to find shortest distance,

Q: Consider the line y = ax , where a is a positive constant. What should be the x- coordinate of the…

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Q: The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find the…

A: The solution for the above solution is as shown below.

Q: For what values of aa and bb is the line −4x+y=b-4x+y=b tangent to the curve y=ax2y=ax2 when…

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Q: Q2: Find the distance from the point R( 2,2,10) to the line: x=t y=1+t z = 3-t

A: Here first we select a general point on the line Now, we find the direction vector of that point to…

Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

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