If a vector 2i^+3j^+7k^is divided by -8, the resultant is−14i^−38j^+xk^ then the value of x is

(2i+8j+7k)×1−8−14i−38j−78k→(1)−14i−38j+xk→(2)On comparisonx=−78

If a vector 2i^+3j^+7k^is divided by -8, the resultant is−14i^−38j^+xk^ then the value of x is

(2i+8j+7k)×1−8−14i−38j−78k→(1)−14i−38j+xk→(2)On comparisonx=−78

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If a vector $2 \hat{i} + 3 \hat{j} + 7 \hat{k}$ is divided by -8, the resultant is $- \frac{1}{4} \hat{i} - \frac{3}{8} \hat{j} + x \hat{k}$ then the value of x is

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$- 3 / 8$

$3 / 8$

$5 / 8$

$- 7 / 8$

answer is D.

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Detailed Solution

$(2 i + 8 j + 7 k) \times \frac{1}{- 8}$

$- \frac{1}{4} i - \frac{3}{8} j - \frac{7}{8} k \to (1)$

$- \frac{1}{4} i - \frac{3}{8} j + x k \to (2)$

On comparison

$x = - \frac{7}{8}$

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If a vector 2i^+3j^+7k^is divided by -8, the resultant is−14i^−38j^+xk^ then the value of x is

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If a vector $2 \hat{i} + 3 \hat{j} + 7 \hat{k}$ is divided by -8, the resultant is $- \frac{1}{4} \hat{i} - \frac{3}{8} \hat{j} + x \hat{k}$ then the value of x is