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Show that the point whose position vectors are `veca=4hati-3hatj+hatk,vecb=2hati-4hatj+5hatk,vecc=hati-hatj` form a right angled triangle.

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Using vector method, show that the points whose position vectors are hati-hatj , 4hati-3hatj+hatk and 2hati-4hatj+5hatk form a right angled triangle.

Using vector method, show that the points whose position vectors are , 2hati-hatj+hatk and hati-3hatj-5hatk and 3hati-4hatj-4hatk form a right angled triangle.

Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb=2hati-hatj+hatk and vecc=hati-3hatj-5hatk respectively form the vertices of a right angled triangle.

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

Show that the following vectors are coplanar : veca=hati-2hatj+3hatk,vecb=-2hati+3hatj-4hatk and vecc=hati-3hatj+5hatk .

Show that the vectors veca=hati-2hatj+3hatk,vecb=-2hati+3hatj-4hatk and vecc=hati-3hatj+5hatk are coplanar.

Show that following vectors are co-planar. veca=10hati-12hatj-4hatk,vecb=-16hati+22hatj-2hatk,vecc=2hati-8hatj+16hatk

ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. If veca=hati+2hatj-hatk, vecb=2hati+hatj+hatk and vecc=5hati-4hatj+3ha...

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  2. Express the veca=5hati-2hatj+5hatk as sum of two vectors such that one...

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  3. Show that the point whose position vectors are veca=4hati-3hatj+hatk,v...

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  4. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

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  5. If a unit vector veca makes angle (pi)/(4) with hati , (pi)/(3) with ...

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  6. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  7. Dot product of a vector with vectors hati-hatj+hatk,2hatk+hatj+3hatk a...

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  8. If veca+vecb+vecc=vec0 and |veca|=3,|vecb|=5,|vecc|=7, show that the a...

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  9. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  10. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  11. If veca,vecb,vecc are three vectors such that : |veca|=5,|vecb|=12 and...

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  12. If with reference to the right handed system of mutually perpendicular...

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  13. Using vectors, prove that a parallelogram whose diagonals are equal is...

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  14. For any vector veca the value of (vecaxxhati)^(2)+(vecaxxhatj)^(2)+(ve...

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  15. Find a unit vector perpendicular to the plane of triangle ABC where th...

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  16. Find a unit vector perpendicular to each of the vectors (veca+vecb) an...

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  17. Find a vector of magnitude sqrt(171), which is perpendicular to both o...

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  18. Find a vector of magnitude 5 units, perpendicular to each of the vecto...

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  19. Find the area of a parallelogram whose adjacent sides are represented ...

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  20. If veca=2hati-3hatj+hatk, vecb=hati+hatk, vecc=2hatj-hatk are three ve...

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