Let ABCD be the parallelogram whose sides AB and AD are represented by the vectors 2î + 4ĵ - 5k̂ and î + 2ĵ + 3k̂ respectively. If $\vec{a}$ is a unit vector parallel to $\overrightarrow{AC}$, then $\vec{a}$ is equal to:

Question

Let ABCD be the parallelogram whose sides AB and AD are represented by the vectors 2î + 4ĵ - 5k̂ and î + 2ĵ + 3k̂ respectively. If $\vec{a}$ is a unit vector parallel to $\overrightarrow{AC}$, then $\vec{a}$ is equal to:

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$\dfrac{1}{3}(3\hat{i}-6\hat{j}-2\hat{k})$

TuteeHUB · Answer

$\dfrac{1}{3}(3\hat{i}+6\hat{j}+2\hat{k})$

TuteeHUB · Answer

$\dfrac{1}{7}(3\hat{i}-6\hat{j}-2\hat{k})$

TuteeHUB · Answer

$\dfrac{1}{7}(3\hat{i}+6\hat{j}-2\hat{k})$

1.	Let ABCD be the parallelogram whose sides AB and AD are represented by the vectors 2î + 4ĵ - 5k̂ and î + 2ĵ + 3k̂ respectively. If \(\vec{a}\) is a unit vector parallel to \(\overrightarrow{AC}\), then \(\vec{a}\) is equal to:
A.	\(\dfrac{1}{3}(3\hat{i}-6\hat{j}-2\hat{k})\)
B.	\(\dfrac{1}{3}(3\hat{i}+6\hat{j}+2\hat{k})\)
C.	\(\dfrac{1}{7}(3\hat{i}-6\hat{j}-2\hat{k})\)
D.	\(\dfrac{1}{7}(3\hat{i}+6\hat{j}-2\hat{k})\)
Answer» E.

Let ABCD be the parallelogram whose sides AB and AD are represented by the vectors 2î + 4ĵ - 5k̂ and î + 2ĵ + 3k̂ respectively. If \(\vec{a}\) is a unit vector parallel to \(\overrightarrow{AC}\), then \(\vec{a}\) is equal to:

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