Calculate the dot product of ?=(−4,−2,7,−3)and ?=(−3,1,5,8)

Q: C: rectangle with vertices (0, 0), (2, 0), (2, 3), and (0, 3)

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Q: Find the residues

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Q: Find the area of the triangle whose vertices are A(-1, -1), B(3, 3), C(2, 1)

A: Given: Find the area of the triangle whose vertices are A(-1, -1), B(3, 3), C(2, 1)

Q: Show that the points (5,4,2) ,(6,2,-1) and (8,-2,-7) are collinear

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Q: Compute the product, or explain why the product does not exist.

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Q: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

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Q: Find the midpoint of AB if A(-3, 8) and B(-7, -6)

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Q: Determine whether the points are collinear. (-2, -4), (5, 24), (-2, –8) O collinear O not collinear

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Q: Find the area of the triangle with vertices: Q(-5,-1,-1), R(-6,-4,1), S(-9,-3,2).

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Q: Find the area of the parallelogram with vertices (1, 0, 2), (2, 1, 2), (1, 3, 5), and (2, 4, 5).

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Q: Find the coordinates of the intersection of the diagonal of [] DEFG

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Q: こ (0) of

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Q: Find the dot product. (-23, 4)·(13, –5) О -316 О -318 О-315 О -319 О -317

A: We need to evaluate the following dot product -23,4·13,-5 Formula used : x1,y1·x2,y2 = x1·x2+y1·y2

Q: What is the difference between a union and a Cartesian product?

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Q: 31 Find the LU of A = 4 [-2 5 -1 3 %3D

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Q: Find the area of a triangle whose points are (1, 2), (-2, -1) and (3, 0).

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Q: Determine whether the points (-1,4), (-1,-1), and (-1,-7) are collinear.

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the dot product: (5, —3) о (2, 3) O 1 O -1

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Q: Find a and b such that -12 %3D -2 -6 -3 - b=

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Q: Find the area of the parallelogram with vertices A(3,9,8), B(0,5,1), C(-1,-3, -3) and D(2,1,4).

A: We will be using the concept of the area of parallelogram created by two adjacent vectors, a and b.…

Q: The conjugate of 7/2 + 5 is

A: The complex conjugate of an imaginary number is the number with same magnitude and same real part,…

Q: Find the area of the triangle determined by the points P(-3, 6, -4), Q(8, 8, -5), and R(-1, -1, -7).

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Q: Find the area of the parallelogram with vertices (2, 3),(5, 3), (4, 5), (7, 5).

A: Given: Vertices of parallelogram is: 2, 3, 5, 3, 4, 5, 7, 5

Q: Find the area of the parallelogram with vertices (2,2), (4, 6), (9, 11), and (11, 15)

A: calculate the area of parellelogram .

Q: - 4x, + 2x, = -6 3x, - 5x, = 1 %3D

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Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 3), (5, 2), and D(3, -1).

A: According to question given that Vertices of parallelogram A=(-3,0)B=(-1,3)C=(5,2)D=(3,-1)

Q: Find distance between a = (3, -1, 0, -3) and b = (4, 0, 1, 2).

A: Given a=(3,-1,0,-3) and b=(4,0,1,2) and we have to find distance between a and b

Q: What is the Cartesian product of A = {1, 2} and B = {a,b,c}?

A: Given A = 1, 2   and   B = a, b, c

Q: Find the area of the parallelogram. P1 (1, 2, 0), P2 (-3, 3, 4), P3 (0, -3, 3)

A: Given points are, P11,2,0P2-3,3,4P30,-3,3

Q: :) Find the area of the pentagon with vertices (0, 0), (4, 1), (1, 3), (0, 2), and (-1, 1).

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Q: Find the adjoint of A (1 2 4 A =3 4 5 2 -2 2

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Q: Find a dot product to show that a = (3,4) and b= (-6,-8) are 11. in opposite directions or in same…

A: If dot product of two vector is negative then vector is in opposite directions

Q: 3. the dot product of -

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Q: Find the area of the rectangle ABCD with vertices 4(-3,0), B(3,2), (4,-1), and D(-2,-3) B(3,2) 2…

A: Area of rectangle is length× Breadth

Q: Find the dot product of ū = (3,-2) and v = (5,-7). Select one: -1 V29 29 (8,-9)

A: Consider the vectors u→=3,−2v→=5,−7

Q: Perform the row operatie 70 0 56 0,3 0 7 0 0 2 7 al 56

A: Given matrix is: We have to perform the row operation (1/7)R_1 and replace R_1.

Q: 4 Find the dot product of [6 -2 3] -1 and 2

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Q: What Is the area of the parallelogram? |(3, 8), (6, 5) (3. - 3)* (6, - 6)

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Q: Find the area of the parallelogram with vertices: P(0,0,0), Q(-4,-5,4), R(-4,-3,6), S(-8,-8,10). 0

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Q: Find the area of the triangle and its type "А(1,-2, -2), В(-2,1,-2), С(-2,-2,1)

A: Given- A1,-2,-2, B-2,1,-2 and C-2,-2,1 To Find- The area of the triangle and find the type of…

Q: Find the area of the quadrangle with vertices (4, 1), (-5, 4), (-3, –6), and (3, –3). 1,0 Area =

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Q: Find the area of the triangle with vertices (0,4), (-8,0) and (-1,-4)

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Q: Find the area of the triangle with vertices (2, 1, 5), (–1, 3, 4), and (3, 0, 6).

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Q: Calculate the cross product between a(3; -3; 1) and b(4; 9; 2).

A: Given vectors a→(3,-3,1)=(a1,a2,a3)                          b→(4,9,2)=(b1,b2,b3)  we know that

Q: Show that the points (5,4,2),(6,2,-1) and (8,-2,-7) are collinear

A: The points are A(5, 4, 2), B(6, 2, -1) and C(8, -2, -7) The points are collinear if the directional…

Q: find the midpoint of AB if A(-3,8) and B(-7,-6).

A: GivenA(-3,8) and B(-7,-6).

Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…

Q: Let a = (7, 5) and b = (-4, 6). Compute the dot product.

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Q: Find the distance between (5, -2) and (5, 0).

A: Given that  The points (5,-2) and (5,0) To find the distance between the points

Q: Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2) and  (-1, 1)

A: Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2) and  (-1, 1)