If 2i-4j-2k-2i-xj-5k-16i-6j-2xk- then the value of x is

The correct option is B 2 î amp; ĵ amp; k̂ 2 amp; 4 amp; 2 2 amp; x amp; 5 =(20+2x)î 6ĵ+( 2x 8)k̂ 20+2x=16 x= 2 ...

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Applications of Cross Product

If 2i+4j+2k...

Question

If $(2 ¯ i + 4 ¯ j + 2 ¯ ¯ ¯ k) \times (2 ¯ i - x ¯ j + 5 ¯ ¯ ¯ k) = 16 ¯ i - 6 ¯ j + 2 x ¯ ¯ ¯ k$ , then the value of $x$ is

2

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{| \to r |}^{2} - \to r . (2 i + 4 j - 2 k) - 10 = 0

\vec{a} = 2 \hat{i} - 3 \hat{j} + 5 \hat{k}, \vec{b} = 3 \hat{i} - 4 \hat{j} + 5 \hat{k} and \vec{c} = 5 \hat{i} - 3 \hat{j} - 2 \hat{k},

\vec{a} + \vec{b,} \vec{b} + \vec{c,} \vec{c} + \vec{a}

l_{1} : r (t) = (i - 6 j + 2 k) + t (i + 2 j + k)

l_{2} : R (u) = (4 j + k) + u (2 i + j + 2 k)

\vec{a} = \hat{i} + 2 \hat{j} - \hat{k}, \vec{b} = 3 \hat{i} + 2 \hat{j} + 7 \hat{k}, \vec{c} = 5 \hat{i} + 6 \hat{j} + 5 \hat{k}

\vec{a} = - 4 \hat{i} - 6 \hat{j} - 2 \hat{k}, \vec{b} = - \hat{i} + 4 \hat{j} + 3 \hat{k}, \vec{c} = - 8 \hat{i} - \hat{j} + 3 \hat{k}

\hat{a} = \hat{i} - 2 \hat{j} + 3 \hat{k}, \hat{b} = - 2 \hat{i} + 3 \hat{j} - 4 \hat{k}, \hat{c} = \hat{i} - 3 \hat{j} + 5 \hat{k}

2 i + 4 j + 2 k

2 i + 3 j + 5 k

3 i - 2 j + k

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