Calculus & Vectors 12 Test 3
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Calculus & Vectors 12
Test 3
1) Consider the vector = [8, 3] and = [2, 7]. Evaluate . and determine the angle between the two vectors. [K]
2) Consider the vector = [-6, 3]. [T]
a. Write in terms of and ⃗.
b. State two unit vectors that are collinear with .
3) Write the linear combination of the following vectors.
⃗ = [-5, 6, 2] and ⃗ = [3, 3, -8]. [T]
4) Find the cross product of vectors = [-3, 2, 0] and = [6, -4, 2]. [K]
5)Find the angle between two vectors [-2, a, 7] and [b, 6, 21] [C]
6) Given that = [2, 3, -5] and = [8, -4, 3] and = [-6, -2, 0], determine the value of ( . ) + (" [T]
7) Determine the projection, and its magnitude, of = [-2, 5, 3] on = [4, -8, 9]. [K]
2022-03-05