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Question

Given three points whose position vectors are xˆi+yˆj+zˆk,ˆi+zˆj and ˆiˆj find the condition for the points to be collinear,

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Solution

Given,
xˆi+yˆj+zˆkˆi+zˆjˆiˆjarecollinear.So,xyza1z0110=0x(0)y(0)+z(1z)=0z=0andz=1ifz=0andz=1so,forallx,ythesevectorsarecollinear.

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