Question:
With respect to a rectangular Cartesian coordinate system, three vectors are expressed as
a = 4 i- j, b=-3 i+2 j and c=- k.
The unit vector along the direction of sum of these vectors is
With respect to a rectangular Cartesian coordinate system, three vectors are expressed as
a = 4 i- j, b=-3 i+2 j and c=- k.
The unit vector along the direction of sum of these vectors is
Show Hint
Add vectors component-wise before normalising.
Updated On: Mar 18, 2026
- 1\sqrt3( i+ j- k)
- 1\sqrt2( i+ j- k)
- 13( i- j+ k)
- 1\sqrt2( i+ j+ k)
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The Correct Option is A
Solution and Explanation
Step 1: a+ b+ c=( i+ j- k)
Step 2: Magnitude =\sqrt3
Step 3: Unit vector: 1\sqrt3( i+ j- k)
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