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The projection of a segment joining points $P (x_{1}, y_{1}, z_{1})$ and $Q (x_{2}, y_{2}, z_{2})$ on a line with direction cosines $l, m, n$ is $a l + b m + c n$ . Then $a^{2} + b^{2} + c^{2}$ =

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The projection of a segment joining points P(x1,y1,z1)and Q(x2,y2,z2) on a line with direction cosinesl,m,n islx2-x1+my2-y1+nz1-z2Hence,a2+b2+c2=x2−x12+y2−y12+z2−z12=PQ2

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The projection of a segment joining points P(x1,y1,z1) and Q(x2,y2,z2) on a line with direction cosines l,m,n is al+bm+cn. Thena2+b2+c2=

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Ready to Test Your Skills?

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The projection of a segment joining points $P (x_{1}, y_{1}, z_{1})$ and $Q (x_{2}, y_{2}, z_{2})$ on a line with direction cosines $l, m, n$ is $a l + b m + c n$ . Then $a^{2} + b^{2} + c^{2}$ =