If A- - 2- - 7 - - 3 k- and B- - 3- - 2 - - 5 k- find the component of A- along B-

The component of A⃗ along #160; B⃗ is #160; |A⃗| cosθB̂ = B⃗(A⃗. B⃗)|B⃗|^2 = [3î +2ĵ+5k̂](2î + 7ĵ+3 k̂).(3î+2ĵ +5k̂)3^2+2^2+5^2 = (3 ...

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Definition of Vector

If A⃗ = 2î ...

Question

If $\to A = 2^i + 7^j + 3^k$ and $\to B = 3^i + 2^j + 5^k$ , find the component of $\to A$ along $\to B .$

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\to A = 2^i + 7^j + 3^k

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

\to A

\to B

\to a = 9^i - 7^j + 5^k

\to b = 3^i - 2^j - 6^k

(- \to a + \to b)

(- \to a - \to b)

\to A = 2^i + 7^j + 3^k

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

\to A

\to B .

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

\to c = - 1^i + 2^j + 2^k

\to a + \to b + \to c =

\to a \times \to b

\to a =^i + 2^j + 3^k

\to b = 3^i + 2^j +^k

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