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A vector P has X and Y components of magnitude 2 units and 4 units respectively. A vector Q along negative X-axis has magnitude 6 units. The vector (Q – P) will be

Options

  1. A4 2 i ^ - j ^
  2. B- 4 2 i ^ - j ^
  3. C4 2 i ^ + j ^
  4. D- 4 2 i ^ + j ^

Correct answer

D. - 4 2 i ^ + j ^

Step-by-step solution

Accordingly, to question, vectors P and Q can be written as P = 2 i ^ + 4 j ^ and Q = - 6 i ^ ∴ Q - P = - 6 i ^ - 2 i ^ + 4 j ^ = - 8 i ^ - 4 j ^ = - 4 2 i ^ + j ^

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