10. If P = 6i+8j and Q = 4i- 3 j then calculate
(i) Unit vector along P +2Q
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Answer:
(14i + 2j) / 2√ 10
Explanation:
P + 2Q = 6i + 8j + 2(4i -3j)
= 6i + 8j + 8i - 6j
= 14i + 2j
Unit Vector = 14i + 2j / |14j + 2j|
= (14i + 2j) / √ ( 14^2 + 2^2)
= (14i + 2j) / √ (196 + 4)
= (14i + 2j) / 2√ 10
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