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Find the scalar and vector products of two vectors. A=(3i-4j+5k) and B=(2i+j-3k)? |
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Answer» Scalar product → -13Vector product → -7i - 19j - 5kStep-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= -13For 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 |
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