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Eleven times unit vector along X added to 7 times unit vector along Y gives ______
  • a)
    11î + 7ĵ
  • b)
    7î + 11ĵ
  • c)
    7î + 7ĵ
  • d)
    11î + 11ĵ
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Eleven times unit vector along X added to 7 times unit vector along Y ...
Unit vector along X is î and that along Y is ĵ. Hence, eleven times unit vector along X added to 7 times unit vector along Y will give 11î + 7ĵ.
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Most Upvoted Answer
Eleven times unit vector along X added to 7 times unit vector along Y ...
Eleven times the unit vector along the X-axis added to 7 times the unit vector along the Y-axis gives us a vector in the XY-plane. The resultant vector can be found by adding the components along the X-axis and Y-axis separately.

The X-component of the resultant vector is 11 times the X-component of the unit vector along the X-axis, which is 11 times 1, giving us 11.

The Y-component of the resultant vector is 7 times the Y-component of the unit vector along the Y-axis, which is 7 times 1, giving us 7.

Therefore, the resultant vector is (11, 7).

So the answer is a) 11.
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Eleven times unit vector along X added to 7 times unit vector along Y gives ______a)11î + 7b)7î + 11c)7î + 7d)11î + 11Correct answer is option 'A'. Can you explain this answer?
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