Find the projection of vector b-c- on vector a- where a-2-k-b-3-k- and c-k-

a⃗ =î +2ĵ +k̂ b⃗ =î +3ĵ +k̂ b⃗ +c⃗ =( î +3ĵ +k̂ #160; ) +( î +k̂ #160; ) =2î +3ĵ +2k̂ Projection of ( b⃗ +c⃗ #160; ) on a⃗ ...

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Vector Addition

Find the proj...

Question

Find the projection of vector $(\to b + \to c)$ on vector $\to a$ where $\to a =^i + 2^j +^k, \to b =^i + 3^j +^k$ and $\to c =^i +^k$ .

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

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

\to a + \to b

\to b + \to c

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

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

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

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

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

\to a

\to b

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

\to c = -^i + 2^i -^k . A

\to a + \to b

\to b + \to c

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

\to a

\to b

\to c

\frac{1}{\sqrt{3}}

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