Find A - B- if A -4 k- and B -A- 4 -k-B- -4 k-C- 4 -k-D- -4 k-

The correct option is C 4î k̂A×B=( î+4k̂) × nbsp;( ĵ) =( î× ( 1)ĵ)+( 4k̂× ( 1)ĵ) = k̂+4î = 4î k̂ nbsp; ...

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Multiplication with Vectors

Find A × B, i...

Question

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

4^i +^k

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^i - 4^k

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4^i -^k

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-^i - 4^k

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Solution

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\to A \times \to B

\to A =^i + 4^k and \to B = -^j

a =^i +^j +^k

b = 4^i + 3^j + 4^k

c =^i + α^j + β^k

| c | = \sqrt{3}

\to a =^i +^j +^k

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

\to c =^i + α^j + β^k

∣ ∣ \to c ∣ ∣ = \sqrt{3}

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

\to c = 4^i + 2^j + 3^k,

∣ ∣ ∣ \to a \times (\to b \times \to c) ∣ ∣ ∣ =

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

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

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