The vector r¯ has magnitude 14 and direction ratios 2, 3, and -6. If r¯ makes an acute angle with x – axis then r¯ =

Given r¯ = r = 14 and d.r’s of r¯ = 2,3,−6d.c’s of r¯ = 27,37,−67r¯ = lr,mr,nr = 4,6, −12= 4i¯ + 6j¯ - 12k¯

The vector r¯ has magnitude 14 and direction ratios 2, 3, and -6. If r¯ makes an acute angle with x – axis then r¯ =

Given r¯ = r = 14 and d.r’s of r¯ = 2,3,−6d.c’s of r¯ = 27,37,−67r¯ = lr,mr,nr = 4,6, −12= 4i¯ + 6j¯ - 12k¯

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The vector $\bar{r}$ has magnitude 14 and direction ratios 2, 3, and -6. If $\bar{r}$ makes an acute angle with x – axis then $\bar{r}$ =

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$4 \bar{i} + 6 \bar{j} - 12 \bar{k}$

$2 \bar{i} - 3 \bar{j} - 6 \bar{k}$

$-4 \bar{i} - 6 \bar{j} - 12 \bar{k}$

$4 \bar{i} - 6 \bar{j} - 12 \bar{k}$

answer is A.

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Detailed Solution

Given $|\bar{r}| = r = 14$ and d.r’s of $\bar{r} = (2, 3, - 6)$

d.c’s of $\bar{r} = (\frac{2}{7}, \frac{3}{7}, \frac{- 6}{7})$

$\bar{r} = (l r, m r, n r) = (4, 6, - 12)$

$= 4 \bar{i} + 6 \bar{j} - 12 \bar{k}$

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The vector r¯ has magnitude 14 and direction ratios 2, 3, and -6. If r¯ makes an acute angle with x – axis then r¯ =

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The vector $\bar{r}$ has magnitude 14 and direction ratios 2, 3, and -6. If $\bar{r}$ makes an acute angle with x – axis then $\bar{r}$ =