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

A× (2i+3j+4k)+b× (2i+3j+4k) =0 ⇒ (a+b)× (2i +3j+ 4k) = 0 ⇒ (a+b=λ (2i+3j+4k)) Given, |a+b|=√(29) ⇒λ =1 So, a+b=2i+3j+4k Now, (a+b)( 7i+2j+3k)=4 ...

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If a and b ar...

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

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

\vec{a} and \vec{b}

\vec{a} = λ \hat{i} + 2 \hat{j} + \hat{k} and \vec{b} = 4 \hat{i} - 9 \hat{j} + 2 \hat{k}

\vec{a} = λ \hat{i} + 2 \hat{j} + \hat{k} and \vec{b} = 5 \hat{i} - 9 \hat{j} + 2 \hat{k}

\vec{a} = 2 \hat{i} + 3 \hat{j} + 4 \hat{k} and \vec{b} = 3 \hat{i} + 2 \hat{j} - λ \hat{k}

\vec{a} = λ \hat{i} + 3 \hat{j} + 2 \hat{k} and \vec{b} = \hat{i} - \hat{j} + 3 \hat{k}

2 ¯ i - 3 ¯ j + 4 ¯ ¯ ¯ k, ¯ i - 2 ¯ j + 3 ¯ ¯ ¯ k

3 ¯ i + ¯ j - 2 ¯ ¯ ¯ k

\vec{A} = 2 \vec{i} + 3 \vec{j} + 4 \vec{k} and \vec{B} = 4 \vec{i} + 3 \vec{j} + 2 \vec{k}

\vec{A} \times \vec{B}

\to A = \to i - \to 2 j - \to 3 k

\to B = \to 2 i + \to 3 j - \to 4 k

\to A + \to B

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