Find A-B- if A-2-3k- and B-2-3-4k-

We have A=2î ĵ+3k̂ and B= 2î+3ĵ+4k̂ nbsp; So, A×B=( 4 9)î (8 ( 6))ĵ+(6 2)k̂ nbsp; = 13î 14ĵ+4k̂ ...

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Byju's Answer

Standard XIII

Physics

Multiplication with Vectors

Find A×B, if ...

Question

Find $\to A \times \to B$ , if $\to A = 2^i -^j + 3^k$ and $\to B = - 2^i + 3^j + 4^k$

- 13^i - 14^j - 4^k

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5^i + 14^j + 4^k

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5^i - 14^j + 4^k

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- 13^i - 14^j + 4^k

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Solution

The correct option is D $- 13^i - 14^j + 4^k$
We have
$\to A = 2^i -^j + 3^k$ and $\to B = - 2^i + 3^j + 4^k$
So,
$\to A \times \to B = (- 4 - 9)^i - (8 - (- 6))^j + (6 - 2)^k$
$= - 13^i - 14^j + 4^k$

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

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Find →A×→B, if →A=2^i−^j+3^k and →B=−2^i+3^j+4^k

The correct option is D −13^i−14^j+4^kWe have →A=2^i−^j+3^k and →B=−2^i+3^j+4^k So, →A×→B=(−4−9)^i−(8−(−6))^j+(6−2)^k =−13^i−14^j+4^k

Find $\to A \times \to B$ , if $\to A = 2^i -^j + 3^k$ and $\to B = - 2^i + 3^j + 4^k$

The correct option is D $- 13^i - 14^j + 4^k$
We have
$\to A = 2^i -^j + 3^k$ and $\to B = - 2^i + 3^j + 4^k$
So,
$\to A \times \to B = (- 4 - 9)^i - (8 - (- 6))^j + (6 - 2)^k$
$= - 13^i - 14^j + 4^k$