If u=3^i−5^j+9^kandv=3^i+4^j+0k; What is the component of u along the direction of v?
A
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B
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C
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D
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Solution
The correct option is B Component of →μ along the direction of →v can be calculated using dot product. We know, →μ.→v=|μ||v|cosθ ⇒(9−20+0)=(√(3)2+(5)2+(3)2)(√(3)2+(4)2+(0)2).cosθ cosθ=−11√115.5 The component of →μ along the direction of →v will be = |μ| cos θ |μ|=√115 ⇒|μ|.cosθ=−115