Find the projection of a- - - - 3k- on b- - 3- - - - 4k-

Projection of a⃗= î 3 k̂ on b⃗= 3î+ ĵ 4 k̂ Projection =a⃗.b⃗|b⃗|^2b⃗ =3+12(√(26))^2 (3 î+ ĵ 4k̂) =1526 (3î+ ĵ 4k̂) =4526î+ 15î26 ...

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Applications of Dot Product

Find the proj...

Question

Find the projection of $\to a =^i - 3^k$ on $\to b = 3^i +^j - 4^k$

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Solution

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\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 =^i -^j +^k

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

\to v

\to a

\to b

\to c

\frac{2}{\sqrt{3}}

\to A = 4^i +^j + 3^k

\to B =^i + 3^j + 4^k

(\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

\to a

\to b

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

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

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