If Sunil moves along a rectangular path from point A(0,0) as shown in the figure to point C of the rectangle, what is his displacement vector. Take line AB as x-axis and AD as y-axis.The dimensions of the rectangle are mentioned.
A
3^i+4^j
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B
0
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C
4^i+3^j
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D
4^i+5^j
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Solution
The correct option is C 4^i+3^j From definition, The displacement vector is difference between the position vector of point C and point A. With reference to A the coordinate of point C is (4,3) Position vector of C is −→rC= 4^i+3^j Hence, displacement vector →Vdisp = −→rC−−→rA= (4^i+3^j) - (0^i+0^j) = 4^i+3^j