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If the points A(2,p,1),B(1,2,q) and C(3,...

If the points A(2,p,1),B(1,2,q) and C(3,2,1) are collinear, then find
(1) the ratio in which the points C divides the line segment AB
(2) the values of p and q.

Text Solution

Verified by Experts

The correct Answer is:
(1) 1:2 2xternally (2) `p=2,q=1`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-VECTORS-Examples for Practics
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  10. If G is the centroid of triangleABC and O is any point in the plane of...

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  11. Find [bar(a)bar(b)bar(c)] where : (1) bar(a)=2hat(i)+hat(j)-hat(k),b...

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  12. If bar(a)=hat(i)+hat(j)+hat(k),bar(b)=2hat(i)+qhat(j)+hat(k),hat(c)=ha...

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  13. Show that the vectors hat(i)-hat(j)-6hat(k),hat(i)-3hat(j)+4hat(k)and2...

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  15. Find lamda, if the vectors bar(a)=hat(i)+hat(j)+hat(k),bar(b)=hat(i)-h...

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  16. If bar(a),bar(b),bar(c) are any three vectors, prove that (1) [bar(a)...

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  17. Find the volume of the parallelopiped with segments AB, AC and AD as c...

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  18. Find the volume of the tetrahedron whose vertices are A(3,7,4),B(5,-2,...

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  19. Find the volume tetrahedron whose coterminus edges are 7hat(i)+hat(k),...

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  20. Show that the following sets of points are coplanar : (1) (3,9,4),(0...

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