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Represent Vector Operations Algebraically

If F = 2i - j and G = i + 3j, what is the projection of vector F onto vector G?

Given vectors X = 3i - j and Y = 2i + 4j, what is the result of vector subtraction X - Y?

Given vectors P = 2i + j and Q = -i + 3j, what is the dot product P . Q?

If C = 4i - 2j, what is the scalar multiplication of 3C?

Given vectors M = 3i + 2j and N = -i + j, which of the following is parallel to the vector M - N?

If V = 4i - 3j, what is the unit vector in the direction of V?

Given vectors A = 3i + 2j and B = -2i + 5j, what is the result of the vector addition A + B?

If E = 6i + 8j, what is the angle between vector E and the positive x-axis?

Given vectors A = i + j and B = 2i - j, what is the cross product A×B?

Given vectors P = 3i - j and Q = i + 2j, what is the angle between vectors P and Q?