For the following exercises, find the measure of the angle between the three-dimensional vectors a and b. [T] a=3i-j+ 2k, where v = 2i+j+ 4k and w = 6i+j+2k 9:42 PM b=v-w₁

Q: Find the unit vector in the same direction as the vector u = [8, –7].

A: When you divide a vector by its magnitude you get an unit vector along its direction.

Q: Q2: Find the vector and unit vector (u) in the direction of the vector P2 = (-3,0, 6) to P, = (4, 6,…

A: Let us consider the vector P=(a,b,c) and Q=x,y,z. The vector in the direction of P to Q is obtained…

Q: For the vector v = (2, 1), sketch (a) 2v, (b) −3v, and (c) 1/2 v.

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Q: For the following exercises, vectors u and v are given. Find the magnitudes of vectors: u−v and −2u.…

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Q: Use the dot product to find the angle between the vectors v =i – 2j + k and w = i+j-2k. For which…

A: First we have to find the angle between the vectors v and w where v=i-2j+k and w=i+j-2k. For this,…

Q: 02: Find the vector and unit vector (u) in the direction of the vector P, (-3,0, 6) to P = (4, 6, –…

A: Let us consider the vector P(a, b, c) and Q(x, y, z) then the vector in the direction of P to Q is…

Q: For the pair of vectors, find U•V. U = 4i+j V= 3i-j O 8 O 12 O 13 O 1 O 7

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Q: Find the angle between the vectors v and w v = (2,−3)T , w = (3, 2)T

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Q: vectors u = -2i+4j-√√5k and v= 2i-4j+√5k, find: 1. the vector proj,u 2. the scalar component of u in…

A: Here we will solve both the sub-parts step by step,

Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

Q: Find the angle 0 between the two vectors u = and v = .

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Q: J1 1. Find the angle in degrees, between the two vectors, u = (1,3,-2) and v = (2,-1,3).

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Q: (b) Check whether u = 6i – 2j+k and v = = -4i – 3j+9k are parallel or not. Then, find the area of…

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