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What is the relation between the two vectors A = 2 i + 5 j - 6 k and B = i + 5 2 j - 3 k ?

Options

  1. AA is perpendicular to B
  2. BA is parallel to B
  3. CA + B = 0
  4. DA - B = 0

Correct answer

B. A is parallel to B

Step-by-step solution

Given vectors are A = 2 i + 5 j - 6 k and B = i + 5 2 j - 3 k . Taking 2 common from the components of A : A = 2( i + 5 2 j - 3 k ) A = 2 B Since A is a scalar multiple of B , the two vectors are parallel. Answer: A is parallel to B

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