If i^−3j^+5k^ bisects the angle between a^and−i^+2j^+2k^,wherea^ is a unit vector, then a. a^=1051(41i^+88j^−40k^) b. a^=1051(41i^+88j^+40k^) c. a^=1051(−41i^+88j^−40k^) d. a^=1051(41i^−88j^−40k^)

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If {{i}}-{3}{{j}}+{5}{{k}} bisects the angle between {{a}}{a}{

Question

If $\hat{i} - 3 \hat{j} + 5 \hat{k}$ bisects the angle between $\overset{a}{^} a n d - \hat{i} + 2 \hat{j} + 2 \hat{k}, w h e r e \overset{a}{^}$ is a unit vector, then a. $\overset{a}{^} = \frac{1}{105} (41 \hat{i} + 88 \hat{j} - 40 \hat{k})$ b. $\overset{a}{^} = \frac{1}{105} (41 \hat{i} + 88 \hat{j} + 40 \hat{k})$ c. $\overset{a}{^} = \frac{1}{105} (- 41 \hat{i} + 88 \hat{j} - 40 \hat{k})$ d. $\overset{a}{^} = \frac{1}{105} (41 \hat{i} - 88 \hat{j} - 40 \hat{k})$

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Benjamin Discussed

\hat{i} - 3 \hat{j} + 5 \hat{k}

bisects the angle between

\overset{a}{^} a n d - \hat{i} + 2 \hat{j} + 2 \hat{k}, w h e r e \overset{a}{^}

is a unit vector, then a.

\overset{a}{^} = \frac{1}{105} (41 \hat{i} + 88 \hat{j} - 40 \hat{k})

\overset{a}{^} = \frac{1}{105} (41 \hat{i} + 88 \hat{j} + 40 \hat{k})

\overset{a}{^} = \frac{1}{105} (- 41 \hat{i} + 88 \hat{j} - 40 \hat{k})

\overset{a}{^} = \frac{1}{105} (41 \hat{i} - 88 \hat{j} - 40 \hat{k})

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Question Text

\hat{i} - 3 \hat{j} + 5 \hat{k}

bisects the angle between

\overset{a}{^} a n d - \hat{i} + 2 \hat{j} + 2 \hat{k}, w h e r e \overset{a}{^}

is a unit vector, then a.

\overset{a}{^} = \frac{1}{105} (41 \hat{i} + 88 \hat{j} - 40 \hat{k})

\overset{a}{^} = \frac{1}{105} (41 \hat{i} + 88 \hat{j} + 40 \hat{k})

\overset{a}{^} = \frac{1}{105} (- 41 \hat{i} + 88 \hat{j} - 40 \hat{k})

\overset{a}{^} = \frac{1}{105} (41 \hat{i} - 88 \hat{j} - 40 \hat{k})