2. If is the angle between two non zero vectors u and v, where 0° s 0 s 180° then: cos 0 = U.V |ul|v| Find the angle 8 between the two vectors. a. u=<7, -1> and v= <2, 2> b. u= <2, 10> and v= <5, -2> c. u= <2,-6> and v= < 6, 2>

Q: (e) Find the angle between two vectors u = (4, -3, 6) and v = (3, 0, 1).

A:

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A: Step 1: Solve for the projection The formula of the projection of vector u unto d…

Q: Find the angle 0 between the vectors. u = (1, 1, 1), v = (7, -6, 5), (u, v) = u1Vı + 2u2v2 + U3v3…

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Q: Find u · v. u - (7, 2) - (-6, 3) V u.v -

A: Since you have asked multiple questions in a single request so we will be answering only first…

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A: 1.

Q: Let u = -3) and v=(5, -2) and w= = (-6, -4). Fin (2, -3)

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A: We have to solve given Questions.

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Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: 2. For v = (5,-2) and w = (3, 4), find v+w, v - w, v/2, -w and make one sketch labeling all 6 of…

A: Given,           v=&lt;5,-2&gt; and w=&lt;3,4&gt;

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Q: 5. For vectors given the vectors v =(-4,-3) and w (-1,-1), find: (a) Sketch, v+w below. Find its…

A: We can solve as follows

Q: 2. Let vectors a = (3, 1, 2), b = (0, 2, 1), and c = (1, 1, -1) be given. Find (2a + 3b). c. • Find…

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Q: Draw position vector OP = (-2,-4,3) on the axis below.

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Q: Find an expression for the exact angle 0 between u and v when = (4,7) and v = (-5, 8). (3, –1, 1)…

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Q: 4. For the vectors (2, 1) and = (1, 2) Find the dot product u · v, and the angle 0 between the two…

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Q: please answer all i really need it and make sure it’s correct

A: (10).       (11). Step 1:--    Step 2:--Step3:--(12).

Q: P (x) = x² + 12x³ + 12x² + 12x + 11 = 0

A:

Q: Let u = PQ and v = PR. (a) Write u and v in component form. (4₁, 4₂) = u V P = (-2,-1), Q = (5, -1),…

A:

Q: 18. A child throws a ball with a speed of 5 feet per second at an angle of 54° with the horizontal.…

A: Given Speed of a ball =5 feet per…