If - is angle that vector A- - 2 - - 3 - - 5 k- makes with x-z plane then

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Vector Component

If θ is angle...

Question

If $θ$ is angle that vector $\to A = 2^i + 3^j + 5^k$ makes with x-z plane then

c o s θ = \frac{2}{\sqrt{38}}

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s i n θ = \frac{5}{\sqrt{38}}

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t a n θ = \frac{3}{\sqrt{29}}

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c o s θ = \frac{3}{\sqrt{38}}

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Solution

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θ

\to A = 2^i + 3^j + 5^k

\to A = 2^i + 3^j

\to A = 2^i + 3^j -^k

\to A = 2^i + 3^j + 6^k

β

β

\to a = 2^i - 3^j + 5^k, \to b = 3^i - 4^j + 5^k

\to c = 5^i - 3^j - 2^k

\to a + \to b, \to b + \to c, \to c + \to a

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