Consider the following points P and Q. a. Find PQ and state your answer in two forms: (a, b, c) and ai + bj + ck. b. Find the magnitude of PO. c. Find two unit vectors parallel to PQ. P(a, b, c), Q(1, 1, -1) (u, b, and c are real numbers)

Q: Find the value of aa in the vector →v=⟨a,b⟩v→=⟨a,b⟩ if b=15 and ||→v||=39|| v→ is in Quadrant I a=

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A: ANSWER IS GIVEN BELOW.

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Q: .If the position vectors of the points A, B, C, D are a = i+j+k, b 2i + 3j, c= 3i+ 5j - 2k, d k-j.…

A: Given:  a=i+j+k, b=2i+3j, c=3i+5j-2k, d=k-j We know that if A=x1i+x2j+x3k, B=y1i+y2j+y3k then…

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Q: In the figure here, D is the midpoint of side AB of triangle ABC, and E is one-third of the way…

A: Consider the figure shown belowAssume , D is the midpoint of side AB of triangle ABC , and E is…

Q: Determine the angle between the following vectors, to the nearest whole degree. p = [-3, 5, – 1] q =…

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Q: Given the vectors shown, sketch ủ +v, ū-v, and 2u .

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Q: Pls help

A: ABC is an equilateral triangle and D E f are the midpoints of the sides

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A: The area of the parallelogram is ∥u∥×∥v∥×sinθ=2×12×sinπ3=24×32=123   Here θ= the angle between u and…

Q: If u = 5i - j+ k, v =j - 5k, w = -15i + 3j - 3k. Which vectors, if any, are (a) perpendicular? (b)…

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Q: A If the magnitude of vector A is multiplied by 2, which of the following vectors would be the…

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Q: For what value of m, the vector 4i + 2j – 3k and mi - j+ 3k have same magnitude? Given the points A…

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Q: If the position vectors of the points A, B, C, D are a = i + j + k, b = 2i + 3j, c = 3i + 5j − 2k, d…

A: Consider the vectors: a=i+j+k……1b=2i+3j……2c=3i+5j-2k……3d=k-j……4

Q: If la| = v2, la + b| = v6 and la – b| = v2, find the angle between the two vectors å and b.

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Q: Given the vector u = (- 5, - 6), find the magnitude and angle in which the vector points (measured…

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Q: Consider the following points P and Q. a. Find PQ and state your answer in two forms: (a, b, c) and…

A: We have given two points P0,0,2 and Q-2,4,0.

Q: Find the value of a so that vectors U = ai + 9j and V 3i + 12j are perpendicular. %D a =

A: Since, We know that Two Vectors are perpendicular to each other if and only if their dot product is…

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Q: What is the angle of vectors A=5m West and B=15m 60° North of West?

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Q: Obthe resulting parallelogram from the following two vectors that form non-parallel sides A = 3 + 2…

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A: First we will find out the vectors from the graphs ,

Q: If u, v and w are mutually perpendicular vectors, which of the following would not be true? O a) v•…

A: Given  vector u v and w are mutually perpendicular  .  ie .    u.v=v.w=u.w=0

Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?  (2,…

A: Let the 2 nonzero vectors be v and w and also the scalar vector be λ . Both the vectors are said to…

Q: Given the vector u→=⟨-4,-6⟩, find the magnitude and angle in which the vector points (measured…

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Q: Consider the points P(2,7) and Q(6, 4). Write PQ as a product of its magnitude and a unit vector in…

A: Given points are P(2, 7) and Q(6, 4).

Q: If the position vectors of the points A, B, C, D are a = i +j+k, b = 2i+ 3j, c = 3i+ 5j – 2k, d= k –…

A: The position vectors of points A, B, C and D are a=i+j+k,  b=2i+3j,  c=3i+5j-2k  &  d=k-j. Now…

Q: Let C and D be points with position vectors c and d respectively. If |c| = 5, \d| = 7 and c·d = 4,…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: If two nonzero vectors v and w are orthogonal, then the angle between them has which of the…

A: Two non-zero vectors v and w are orthogonal if angle between them is π2. The dot products of two…

Q: Find the magnitude and direction angle of the resultant of each pair of vectors. t = (17, 12) u =…

A: We use vector additions.

Q: Determine the angle between the two vectors: x = ai+bj+ck and y = di+ej+k where a = 2, b = 5, c = 1,…

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Q: Given the points A: (-6,6,-5) and B: (3,-1,0), find the vector i AB i = <

A: Since, we have been given the points A (-6,-6, 5) and B(3,-1, 0).Our Aim is to find the vector u⇀…

Q: Consider the following points P and Q. a. Find PQ and state your answer in two forms: (a, b, c) and…

A: Given points are P3,8,12 and Q3,9,11. a). To find PQ→ PQ→=Q-P=3,9,11-3,8,12=3-3.9-8,11-12=0,1,-1…

Q: |미350, | w|= 12, 0=35° A) B) W W

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Q: Consider vectors A= -51 + 2j and B = 6î – 5j. Now answer the following questions %3D

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Q: Consider V=(6, -3) & W=(-4, 8) Find angle between the two vectors.

A: Recall: Angle between two vectors:     Let a→ and b→ be two vectors then,             cosθ=…

Q: Let A and B be nonzero vectors and let C = ||B||A+ ||A||B . Show that the measure of the angle…

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Q: What is the area of the parallelogram formed using the vectors below as 2 sides of the…

A: What is the area of the parallelogram formed using the vectors t̄ and s̄ as 2 sides of the…

Q: B side of cube = 10 cm (A. B); (C. D); (E.G);(G.B) ? (Ex F); (A x G) dan (Cx F) ? 2. what is the…

A: From the given figure we get A→ = 10i+10k B→ =10iC→ =5j+10kD→=5i +10kE→ =10i+10jF→=10kG→=10i+10j+10k…

Q: Which of the following pairs of vectors are perpendicular? /2 > and and and < - C. None of These…

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Q: The angle that the x-axis make with the plane containing the following two vectors is A = 4â – 3 B =…

A: To find the angle

Q: Given 2D vectors a and b such that |a|= 7 and |b| = 8 find the angle between the vectors if: a) |a…

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Q: Write the vector v in the form ai + bj, given its magnitude |M and the angle a it makes with the…

A: According to question given that v=7, α=60°We have to write the vector v in the form ai+bj

Q: Given the triangle with vertices A=(1,2,3), B=(3,-1,0), and C=(4,1,2), find unit vector of BM, i.e.…

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Q: Find the value of a so that vectors U = ai + 12j and V = 31 + 9j are perpendicular. a =

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Q: Here is a drawing of vectors a, b, and c. 18 ć Which equation correctly describes a in terms of b…

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Q: Show that the points with position vectors 3i–5j, 4¿+j, 6¿+13j are collinear. If the point whose…

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Q: Let a = (4, 1) and b (4, – 1). %D | Find the angle between the vector, in degrees.

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