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Show that the vectors 2 hati-3 hatj+4 ha...

Show that the vectors `2 hati-3 hatj+4 hatk` and `-4 hati + 6 hatj-8 hatk` are collinear.

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Show that the vectors 2 hati-hatj+hatk, hati-3 hatj-5 hatk and 3 hati-4 hatj-4 hatk form the vertices of a right-angled triangle.

The values of a so that the vectors a hati +(a-1) hatj + 3hatk and (a+2) hati +a hatj -2hatk are perpendicular are

Find the angle between the vectors hati-2 hatj+3 hatk and 3 hati-2 hatj+hatk

The points with position vector 60 hati + 3 hatj, 40 hati - 8 hatj and a hati - 52 hatj are collinear if

Show that the points with position vectors 2hati+6hatj+3hatk,hati+2hatj+7hatk and 3hati+10hatj-hatk are collinear.

Show that the points with position vectors '2 hati+6 hatj+3 hatk, hati+2 hatj+7 hatk' and '3 hati+10 hatj-hatk' are collinear.

The scalar product of the vector hati+hatj+hatk with a unit vector along the sum of vectors 2 hati+4 hatj-5 hatk and lambda hati+2 hatj+3 hatk is equal to one. Find the value of lambda

Show that the points A(-2 hati+3 hatj+5 hatk) , B(hati+2 hatj+3 hatk) and C(7 hati-hatk) are collinear.

Find a unit vector parallel to the sum of vectors veca=2 hati+4 hatj-5 hatk and vecb=hati+2 hatj+3 hatk

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. For given vectors, veca=2 hati-hatj+2 hatk and vecb=-hati+hatj-hatk , ...

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  2. Find a vector in the direction of vector 5 hati-hatj+2 hatk which has ...

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  3. Show that the vectors 2 hati-3 hatj+4 hatk and -4 hati + 6 hatj-8 hat...

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  4. Find the direction cosines of the vector hati+2 hatj+3 hatk

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  5. Find the, direction cosines of the vector joining 'A(1,2,-3)' and 'B(-...

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  6. Show that the vector overset^^i+overset^^j+overset^^k is equally incli...

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  7. Find the position vector of a point R which divides the line joining t...

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  8. Find the position vector of the mid point of the vector joining the po...

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  9. Show that the points A, B and C with position vectors veca=3i-4j-4k,ve...

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  10. In triangle 'ABC', which of the following is not true. (##VPUHSSMATX...

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  11. If oversetrarra"and"oversetrarrbare two collinear vectors, then which ...

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  12. Find the angle between two vectors veca and vecb with magnitudes 1 and...

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  13. Find the angle between the vectors veca=hati+hatj-hatk and vecb=hati-h...

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  14. If veca=5i-j-3k and vecb=i+3j+5k,then show that the vectors veca+vecb,...

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  15. Find the projection of the vector veca=2 hati+3 hatj+2 hatk on the vec...

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  16. Find |veca-vecb|, if two vectors veca and vecb are such that |veca|=2,...

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  17. If veca is a unit vector and (vecx-veca) .(vecx+veca)=8, then find |ve...

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  18. For any two vectors veca and vecb, we always have |veca+vecb| le|veca|...

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  19. Show that the points A(-2 hati+3 hatj+5 hatk), B(hati+2 hatj+3 hatk) a...

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  20. Find the angle between two vectorsoversetrarra"and"oversetrarrb with m...

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