If a- and b- are vectors such that -a-b-29 a- 2-3-4k-2-3-4k-b- then a possible value of a-b- -7-2-3k- is

The correct option is A 0 | a⃗+b⃗ | = √(29) #160; #160; a⃗× (2,3,4) = (2,3,4 )× b a⃗× (2,3,4) = b⃗× (2,3,4) a⃗ = b⃗ (a⃗+b⃗) ...

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Cross Product

If a⃗ and ...

Question

If $\to a$ and $\to b$ are vectors such that $| \to a + \to b | = \sqrt{29}$ & $\to a \times (2^i + 3^j + 4^k) = (2^i + 3^j + 4^k) \times \to b$ then a possible value of $(\to a + \to b) \cdot (- 7^i + 2^j + 3^k)$ is

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Solution

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\to a

\to b

| \to a + \to b | = \sqrt{29}

\to a \times (2^i + 3^j + 4^k) = (2^i + 3^j + 4^k) \times \to b

(\to a + \to b) . (- 7^i + 2^j + 3^k)

\to A = 2^i + 3^j + 6^k

\to B = 3^i - 6^j + 2^k

\to A

\to B

K

6^i + 2^j - 3^k

K =

\to a

\to b

\to a = \frac{^i - 2^j}{\sqrt{5}}

\to b = \frac{2^i +^j + 3^k}{\sqrt{14}}

(2 \to a + \to b) \cdot [(\to a \times \to b) \times (\to a - 2 \to b)]

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

\to a

\to b

\to a

\to b

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

\to a

\to b = \frac{3}{\sqrt{26}} .

¯ p

¯ q = \frac{¯ p . ¯ q}{| ¯ q |}

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