1. The dot product of two vectors, A and B, is the product of the ______________

Question

1. The dot product of two vectors, A and B, is the product of the ______________ and the _____________ of the angle theta between them. Multiple Choice 2. What is the dot product of the vector A = 3i + 4j and the unit vector i? (a) 3i (b) 4 (c) 3 (d) none of the above 3. What is the dot product of the vectors 3i+4j and the unit vector j? (a) 4j (b) 4 (c) 3 (d) none of the above Short answer 4. Express the vectors F1 and F2 in Cartesian form, and determine the angle between them using the dot product.

Explanation / Answer

here,'

1. the dot product of the vector A and B , is the product of the magnitude of A and B and the cosine of the angle theta between them

2.

A = 3i + 4 j

dot product with vector i   = (3i + 4 j) . i

dot product with vector i = 3

the dot product is (c) 3

3.

A = 3i + 4 j

dot product with vector j   = (3i + 4 j) . j

dot product with vector j = 4

the dot product is (b) 4

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