Let à = < 2, 1, -2> and b= <-3, 2, k >. Find k so that a and b will be orthogonal (form a 90 degree angle). k=

Q: Sketch the points B = (-5, 0) and C= (-3, 3).

A: Given data: The first point given is B=(-5,0). The second point given is C=(-3, 3). The sketch of…

Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Given: plot P(2, -4, 1) and Q(0, 3, 4) .

Q: The coordinates of the missing point are A. (4, 4) В. (5, 4) (-1,4) (?, ?) С. (6, 4) D. (7, 4) x+ 3…

A: topic- sketch of a figure distance between x=3 and (-1,4) is 3-(-1)=3+1=4 x-coordinates of missing…

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: The distance between A(7,5) and B(-3,-1) is

A: The distance between two is computed as follows, Note: The distance between two points x1,y1  and…

Q: find the area of the triangle formed by the points (8.-5).(-2.-7) and (5.1) by using Herones…

A:

Q: Find the angle ∠BAC if A = (−2, 1, 3), B = (0, 1, −1) and C = (1, 0, 2)

A: Consider the given vertices.A = (-2, 1, 3), B = (0, 1, -1), C = (1, 0, 2)

Q: Given A = [1, 1, 2] and B = [1, 1, -1]. Find the direction cosines of -->BA Select one: a. (0, 0,…

A: Given vectors are  A=1,1,2B=1,1,-1

Q: Sketch the vectors = (2, 3,-6) and w = (-1,1,1) and draw -U, v + w and 7 - w.

A: The given vectors are

Q: If A = ( - 1, 2) and B = (3, 4), find AB and redraw it (a) in standard position and(b) with its tail…

A:

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: Plot the points A(5, -2), B(-5, -2), C(5, 2), D(-5, 2), E(3, 0), and F(0, 3) on a coordinate plane.

A: To plot the points A(5,-2), B(-5,-2), C(5,2), D(-5,2), E(3,0), F(0,3)

Q: Find the angle between (-1,-2) and (-6,3)

A:

Q: Plot the point that is symmetric to (2,4)

A:

Q: Find the angle between(-2,-3 ) and(-4,-6 ).

A: Given, (-2,-3) and (-4,-6) are two vectors.

Q: You are at the point (3,2,3)(3,2,3), standing upright and facing the xzxz-plane. You walk 4 units…

A: Given: You are at the point (3, 2, 3 ), standing upright and facing the xz-plane. You walk 4 units…