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Question
When the tail of vector A is set at the origin of the XY -axis, the tip of A reaches (3,6). When the tail of vector B is set at the origin of the XY -axis, the tip of Breaches (−1,5). If the tail of vector →AB were set at the origin of the XY - axis, what point would its tip touch?
When the tail of vector A is set at the origin of the XY -axis, the tip of A reaches (3,6). When the tail of vector B is set at the origin of the XY -axis, the tip of Breaches (−1,5). If the tail of vector →AB were set at the origin of the XY - axis, what point would its tip touch?
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Solution
The correct option is D (−4,−1)
Any vector stretching from a point X to a point Y can be written as →Y−→X
Thus, →A=3^i+6^j−0^i−0^j=3^i+6^jSimilarly. →B=−1^i+5^j−0^i−0^j=−1^i+5^j
Thus, →AB=→B−→A=−1^i+5^j−3^i−6^j=−4^i−1^j
Thus, when →AB tail is kept at origin, its tip goes to (−4,−1)
Any vector stretching from a point X to a point Y can be written as →Y−→X
Thus, →A=3^i+6^j−0^i−0^j=3^i+6^j
Similarly. →B=−1^i+5^j−0^i−0^j=−1^i+5^j
Thus, →AB=→B−→A=−1^i+5^j−3^i−6^j=−4^i−1^j
Thus, when →AB tail is kept at origin, its tip goes to (−4,−1)
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