Calculate the angle between the vectors A- - 2- - 2- - k- and B- - 6- - 3- - 2k-

A⃗=2i+2ĵ k B⃗=6i 3ĵ+2k θ=tan^ 1(A⃗·B⃗|A⃗||B⃗|) =tan^ 1(12 6 23× 7) angle θ=tan^ 1421 ...

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Applications of Cross Product

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Question

Calculate the angle between the vectors $\to A = 2^i + 2^j -^k$ and $\to B = 6^i - 3^j + 2^k$

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Solution

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What is the angle between the following pair vectors? $\to A =^i +^j +^k a n d \to B = - 2^i - 2^j - 2^k$

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

\to A = 2^i +^j

\to B = 3^j -^k

\to C = 6^i - 2^k

\to A - 2 \to B + 3 \to C

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

\to B = - 6^i + 9^j + 3^k

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

\to B = -^i +^j - 2^k

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