Question

6. Two vectors are given by Ā=i+2j+ 2K and B = 3i+6j+ 2k. Another vector C has the same
magnitude as B but has the same direction as Ā. Then the following vectors represents
(A)](+23+2K) (B) (1–2+2k) (©) 7(i+2j +2k) (D) {(i +23+2k)​

Answer 1

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The vector A is given as   A=i^+2j^+2k^

Its magnitude  ∣A∣=12+22+22=3

Unit vector along direction of A,    A^=∣A∣A=3i^+2j^+2k^

Magnitude of B,   ∣B∣=32+62+22=7

Thus vector C is   C=∣B∣A^

⟹   C=37(i^+2j^+2k^)

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