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Question: The angle made by the vector \(4\overset{\rightarrow}{i}\) – \(3\overset{\rightarrow}{j}\) + \(5\ove...

The angle made by the vector 4i→4\overset{\rightarrow}{i} – 3j→3\overset{\rightarrow}{j} + 5k→5\overset{\rightarrow}{k} with z-axis is–

A

(a)30030^{0}

A

(b)45045^{0}

A

(c)90090^{0}

A

(d)1200120^{0}

Explanation

Solution

(b)

cos g = 542+32+52\frac{5}{\sqrt{4^{2} + 3^{2} + 5^{2}}} = 550\frac{5}{\sqrt{50}} = 12\frac{1}{\sqrt{2}}

\ g = π4\frac{\pi}{4}