Calculating Vector Dot Product?

Question

1. Dot product of a vector with itself: Calculate V1 dot V1. Express answer in terms of V1

2. Dot product of two perpendicular vectors: Calculate the perpendicular vectors V1 dot V2. Express answer as a numerical value.

3. Dot product of two parallel vectors: Calculate the parallel vectors V1 dot V2. Express answer in terms of V1 and V2.

Can anyone help me out with these?

Answer 1

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1) V1 dot V1 = |V1|^2 (square of the magnitude of V1)

2) V1 perpendicular to V2. V1 dot V2 = 0

3) V1 parallel to V2. V1 dot V2 = |V1||V2| (magnitude of V1 times the magnitude of V2)

Answer 2

Dot Product Calculator

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