2) Suppose the vector p is perpendicular to the vector q where p = 3í + 12j+ck q = -8 i + j + 3 k Determine the following: i) Value of c: C = ii) Magnitude of p: | p |= iii) Angle 9 between vectors p and p + q: 8 = (round off your answer to one decimal place)

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Q: 1. Find a unit vector that has the same direction as the vector (-4, 2,4).

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Q: Find the direction angle of the vector u=

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Q: ren vector A = -3î + 4j and B = i + 2j. Find vector V where magnitude is 3 and the vector is allel…

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Q: 4. Find the angle between each pair of vectors. Round to two decimal places as necessary. a) (V3,…

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Q: Determine the angle between the two vectors: x = ai+bj+ck and y = di+ej+k where a = 2, b = 5, c = 1,…

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Q: 22. Given vectors C = 5î - 2ĵ and D = 3î + 4ĵ, find: a. the projection of vector Conto the x-axis…

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Q: 6. Find the unit vector in the same direction as v. If u = (-12,8) and v = (-5,-12), find:

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A: x = 3i -3j -7k  y = 12i +3j +11k

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Q: Compute the Euclidean distance between the vectors u and v, below 1 -3 = 2 - Q - Q 1 = -2 distance =…

A: Problem 1:Distance=1 Problem 2:Distance= 70​Explanation:Step 1:Step 2: Step 3: Step 4: