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

JAMB 1978

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

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Correct Answer: Option C

Explanation

a = 2i - 3j - 3i + 6j

= -i + 3j

= \(\sqrt{5 \times 2}\)

= \(\sqrt{10}\)

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

Correct Answer: Option C

Explanation

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