Let à = < 1, − 3, 5 > and b = < 1, 3, k > . Find k so that a and b will be orthogonal (form a 90 degree angle) k-

Q: Let →a=a→= and →b=b→=. Find kk so that →aa→ and →bb→ will be orthogonal (form a 90 degree angle).…

A: We Know that, Two vectors u and v are said to be orthogonal vectors if and only if u . v=0 Here, a =…

Q: Let u = (3, 5, -1) and v = (2,2, 3). Find 3u + 7v (i t 3u + 7v. Mi ).

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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: Let → a = and → b = . Find k so that → a and → b will be orthogonal (form a 90 degree angle). Let…

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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…

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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: Show that the points A(-4,9,6) ,B(-1,6,6) and C (0,7,10) from the right angled isoseles triangle

A: Use the equation D=(x2-x1)2+(y2-y1)2+(z2-z1)2 to calculate the magnitude of side AB.…

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

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

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

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

Q: Let A = (-2, 4, 1), B = (6, 2, -3) and C = (1, -2, 4). Determine the coordinates of the point P on…

A: The objective of this question is to find the coordinates of the point P on the line AC that is…

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…