Let - a -2- i -3- j -2- k and - b - i -2- j - k-Find the component of - b on - a-

Given, [ a =2 i +3 j +2 k #160;; b = i +2 j + k #160; ] Vector projection of b on to a [ =( a . b ...

Let → a =2∧...

Question

Let $\to a = 2 \land i + 3 \land j + 2 \land k$ and $\to b = \land i + 2 \land j + \land k$ .Find the component of $\to b$ on $\to a$ .

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Solution

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

\to c = \land i - 3 \land j + λ \land k

λ

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

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

\to a + \to b

\to a - \to b

\to a = \land i + \land j + \land k, \to b = \land i + 2 \land j + 3 \land k

2 \land i + 3 \land j - 2 \land k, 5 \land i + n \land j + \land k

- \land i + 2 \land j + 3 \land k

\sqrt{171}

r a = \land i + 2 \land j - 3 \land k

1 b = 3 \land i - \land j + 2 \land k