Suppose ū = (2,–1,2). Then (4, –5, –4) make v? with u an obtuse angle (5, 5, 4) make with u a right angle (-4, 2, –4) make an acute angle with u (-4, 0, 4) makes ? + with u

Q: 5) Find the angle between the lines. y+2 %3D z-5 2x – 3 = y + 9 = 2z + 7 & x +1 = | 2 2.

A: Putting the value of drs of line , we can get angle

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A: Multiply magnitude and unit vector for components

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A:

Q: 6. V=(2,-3). W=(4, 5) Find (a) 2v-w, ( b) V.W (C) angle between V and W

A: 6. The given data is: V=2,-3, W=4,5 To find the value: a 2V-W

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A:

Q: Let u = (2, -3, 4) and v = (-2, 1, 3). What is the dot product u v? What is the angle between u an v…

A: The given vectors  and

Q: What is the angle between the lines 무 x-2 y+4_ :-3 x-2 y-5 _ : -3 and 1 1 2 1

A: To find the angle between any two lines of the form x-x1a1=y-y1b1=z-z1c1 and x-x2a2=y-y2b2=z-z2c2,…

Q: Consider the three points: А — (5, 5) A B= (10, 2) C = (7,7). Determine the angle between AB and AC.…

A: Find angle

Q: Find the point P on AB that is one-third of the distance from A(-1, 2) to B(8, 5). y 10 8. P -10-8…

A: Given points A(-1, 2) and B(8, 5). To find point P which divides the line segment in the ratio 1:3.…

Q: Find the cosecant (if it exists) of the angle √2 √√2 2 0-√2 O 0-220 √2 0 = 5л 4

A:

Q: Find the point P such that v = PQ has the components (-7.75, –8.25, – 16). О 3D (-2.75, -2.25, -6) P…

A:

Q: Suppose v = (2, 5, 4), |w| = 3 and the angle between v and w is 30◦ (a) Find v · w (b) Find compvw…

A:

Q: Two unidentified flying objects are at the points (2t, -2t, 2- 2t) and (2t - 18, 7t, 9t − 2) at time…

A: Given that two unidentified flying objects are at the points  at time

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A: Given thatCondition of vectors orthogonality. Two vectors a and b are orthogonal, if their dot…

Q: Suppose 7 = (5, -5,2). Then (-10, 10,-4) is ✓ (2,-1,-1) is (7.5, -7.5, 3) is parallel perpendicular…

A: If the dot product u•v=0 , then u is perpendicular to v.If the cross product u×v =0 , then u is…

Q: Find u (vx w). =(5, 5, 5) v = (1, 9, 0) w = (0, 0, 4) U =

A:

Q: Let = -2- 4 V u = −2+ 4 Calculate , ul, (the angle between (2 decimal places) lull = + 5 K, and -…

A:

Q: Let A be an angle in standard position. If P(3, 4) is a point on the terminal side of 0, what is the…

A: