If A -2 -9 -4 k- and B -6 -k- then 3 A - B iA- 13 -26 k-B- 13-k-C- 26-k-D- 132 -k-

The correct option is D 13(2ĵ + k̂) nbsp;A = 2î + 9 ĵ + 4k̂ 3 A = 6î + 27ĵ + 12 k̂ B = 6 î ĵ + k̂ So, 3 A B = 6î + 27 ĵ + 12 k̂ 6î ĵ + k̂ = 0î + 26 ...

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Byju's Answer

Standard XII

Physics

Subtraction of a Vector

If A =2 î+9 ĵ...

Question

If $\to A = 2^i + 9^j + 4^k$ and $\to B = 6^i +^j -^k$ , then $3 \to A - \to B$ is

13^i +^j - 26^k

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13 (^i +^j +^k)

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26 (^i +^k)

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13 (2^j +^k)

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Solution

The correct option is D $13 (2^j +^k)$
$\to A = 2^i + 9^j + 4^k$
$3 \to A = 6^i + 27^j + 12^k$
$- \to B = - 6^i -^j +^k$
So, $3 \to A - \to B = 6^i + 27^j + 12^k - 6^i -^j +^k$
$= 0^i + 26^j + 13^k$
$3 \to A - \to B = 13 (2^j +^k)$

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Similar questions

Q. If

\to A = 2^i + 9^j + 4^k

and

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

, then

3 \to A - \to B

If $\to r \times \to b = \to c \times \to b$ and $\to r . \to a = 0$ where $\to a = 2^i + 3^j -^k, \to b = 3^i -^j +^k$ and $\to c =^i +^j + 3^k$ , then $\to r$ is equal to