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The vectors a and b are given in terms of two perpendicular units vectors i…

The vectors a and b are given in terms of two perpendicular units vectors i and j on a plane by a = 2i – 3j, b = -i + 2j. Find the magnitude of the vector a + 3b
  • A.
    2
  • B.
    4
  • C.
    (sqrt{10})
  • D.
    35
  • E.
    2.2
Correct Answer: Option C
Explanation

a = 2i – 3j – 3i + 6j
= -i + 3j
= (sqrt{5 times 2})
= (sqrt{10})