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Show that the vectors '2 hati-hatj+hatk,...

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.

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

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

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

Find the sum of the vectors. veca=hati-2 hatj+hatk, vecb=-2 hati+4 hatj+5 hatk and vecc=hati-6 hatj-7 hatk

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Find the vector joining the points P(2,3,0) and Q(-1,-2,-4). directed ...

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  2. Consider two points P and Q with position vectors vec(OP)=3 veca-2 vec...

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  3. Show that the vectors '2 hati-hatj+hatk, hati-3 hatj-5 hatk' and '3 ha...

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  4. Compute the magnitude of the following vectors. veca=hati+hatj+hatk, ...

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  5. Write two different vectors having same magnitude.

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  6. Write two different vectors having same direction.

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  7. Find the values of x and y so that the vectors 2 hati+3 hatj and x hat...

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  8. Find the scalar and vector components of the vector with initial point...

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  9. Find the sum of the vectors. veca=hati-2 hatj+hatk, vecb=-2 hati+4 ha...

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  10. Find the unit vector in the direction of the vector veca=hati+hatj+2 h...

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  11. Find the unit vector in the direction of vector vecP Q, where P and Q ...

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  12. For given vectors, veca=2 hati-hatj+2 hatk and vecb=-hati+hatj-hatk , ...

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

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

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

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

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

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

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

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

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