Find the projection of A- -2- - -k- on B- - - -2- -k-

The correct option is A 5 /√( 6 ) Given that, #10; #10; #160; #10;A⃗=2î ĵ+k̂ #10; #10; #160; #10;B⃗=î 2ĵ+k̂ #10; #10;Now, the ...

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Multiplication with Vectors

Find the proj...

Question

Find the projection of $\to A = 2^i -^j +^k o n \to B =^i - 2^j +^k$

\frac{5}{\sqrt{6}}

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\frac{7}{10}

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\frac{6}{\sqrt{5}}

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\frac{5}{\sqrt{3}}

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Solution

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\to c = 2 \to a - 3 \to b

| \to a | = 2

| \to b | = 3

\to a \cdot \to b = 6

\to c

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

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

\to r =^i +^j + 2^k

\to c

(\to a + 2 \to b)

\to c

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

\to c = 2^i -^j + 4^k

2^i -^j +^k

^i - 2^j +^k .

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

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

\to c =^i -^j - 4^k

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

(\to a \times \to b) \times (\to c \times \to d) =

\to A =^i +^j -^k, \to B = 2^i -^j +^k, \to C = \frac{1}{\sqrt{5}} (^i - 2^j + 2^k)

\to C . (\to A \times \to B)

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