If vectors A→ and B→ are 3i^-4j^+5k^ and 2i^+3j^-4k^ respectively find the unit vector parallel to A→+B→.

A⇀+B⇀=3i^-4j^+5k^+2i^+3j^-4k^A⇀+B⇀=5i^-j^+k^unit vector along A⇀+B⇀A⇀+B⇀A⇀+B⇀=5i^-j^+k^52+-12+12=5i^-j^+k^27

If vectors A→ and B→ are 3i^-4j^+5k^ and 2i^+3j^-4k^ respectively find the unit vector parallel to A→+B→.

A⇀+B⇀=3i^-4j^+5k^+2i^+3j^-4k^A⇀+B⇀=5i^-j^+k^unit vector along A⇀+B⇀A⇀+B⇀A⇀+B⇀=5i^-j^+k^52+-12+12=5i^-j^+k^27

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If vectors $\vec{A}$ and $\vec{B}$ are $3 \hat{i} - 4 \hat{j} + 5 \hat{k}$ and $2 \hat{i} + 3 \hat{j} - 4 \hat{k}$ respectively find the unit vector parallel to $\vec{A} + \vec{B} .$

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$\frac{(5 i - j + k)}{\sqrt{27}}$

$\frac{(5 i + j + k)}{\sqrt{27}}$

$\frac{(5 i + j + k)}{27}$

$\frac{(5 i - j - k)}{27}$

answer is A.

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$\overset{⇀}{A} + \overset{⇀}{B} = 3 \hat{i} - 4 \hat{j} + 5 \hat{k} + 2 \hat{i} + 3 \hat{j} - 4 \hat{k}$

$\overset{⇀}{A} + \overset{⇀}{B} = 5 \hat{i} - \hat{j} + \hat{k}$

$unit vector along \overset{⇀}{A} + \overset{⇀}{B}$

$\frac{\overset{⇀}{A} + \overset{⇀}{B}}{|\overset{⇀}{A} + \overset{⇀}{B}|} = \frac{5 \hat{i} - \hat{j} + \hat{k}}{\sqrt{5^{2}} + {(- 1)}^{2} + {(1)}^{2}} = \frac{5 \hat{i} - \hat{j} + \hat{k}}{\sqrt{27}}$

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If vectors A→ and B→ are 3i^-4j^+5k^ and 2i^+3j^-4k^ respectively find the unit vector parallel to A→+B→.

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If vectors $\vec{A}$ and $\vec{B}$ are $3 \hat{i} - 4 \hat{j} + 5 \hat{k}$ and $2 \hat{i} + 3 \hat{j} - 4 \hat{k}$ respectively find the unit vector parallel to $\vec{A} + \vec{B} .$