Question

find the scalar and vector products of two vectors. A=(3i-4j+5k) and B=(2i+j-3k)?
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Answer 1

Answer:

• Scalar product → -13
• Vector product → -7i - 19j - 5k

Step-by-step explanation:

For finding the scalar product:

A . B

= (3i - 4j + 5k) . (2i + j - 3k)

= (3)(2) + (-4)(1) + (5)(-3)

= 6 - 4 - 15

= 6 - 19

= -13

For finding the vector product:

We calculate this by using the determinant method. (refer attachment)

A × B

= [(-4 × 3) + (5 × 1)] î + [(3 × 3) + (5 × 2)] - j + [(3 × 1) + (-4 × 2)]k

= [-12 + 5] î + [9 + 10] -j + [3 - 8] k

= (-7)î - 19j - 5 k

= -7i - 19j - 5k