3. Given the vectors u = (1, –6, 2) and v = (-2, 1, 3). Find the following: a. |u+ v|| b. (u+ v) · (u + v) c. angle between u and v d. d(u, u – v)

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

A:

Q: Find the smallest angle between the vectors v = (1,1,2) and w= (2,4,5).

A: The given vectors are,

Q: 2. For the vectors u = -5i + k and v = 3j - 4k, find a. (u · v)u b. u - 3v

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

A: Step 1: Step 2: Step 3: Step 4:

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

A: Givenu=2,-3,v=(5,-2),w=(-6,-4) The objective is to find the angle between the vectors 6) angle…

Q: 3. Given (3, 10,-8) and v = (-1,6,4), b) find a unit vector in the same direction as v-u

A: The given problem is to find the unit vector in the same direction of the vector v-u. Given vectors…

Q: 4. Given vectors: =(4,9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R².

A:

Q: For the given vectors u and v, find the proj,u and proj,v. 1. u = (10, 5) and v (2, 6). V =

A: Question- For the given vectors u and v, calculate projvu and scalvu. u = ⟨10, 5⟩ and v = ⟨2, 6⟩

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: For what values of c are the vectors and perpendicular?

A: we will use dot product of two vector.

Q: Find x so that the vectors u and v below are perpendicular. X u= 6 [-9 x=0 4 v=6 [-1]

A:

Q: 5. Let A = (4,3), B = (0, 1), and C = (−3, 7). (a) Find the vectors AB, BC, and AT. (b) Prove that…

A: Step 1:It is provided that, A=(4,3),B=(0,1), and C=(−3,7). (a) Then, it is obtained:AB=B−A…

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

A: According to the given information, it is required to calculate the dot product and angle between…

Q: 2.) Find the angle, 0, between the vectors v = (5, 3) and u = (4,-7) by using the dot product. Round…

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Q: draw a set of x-,y-, z- and axes and plot the following position vectors (including rectangular…

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Q: For the pair of vectors, find U + V, U - V, and 4U + 3V. U = −i + 5j, V = i + 5j U + V = U-V = 4U +…

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Q: For the vectors u = (1, 2, 0) and v = (2, 1, 3) , evaluate the following expressions. a. 2u + 4v c.…

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