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Show that the points A, B and C with pos...

Show that the points A, B and C with position vectors, `veca=3veci-4vecj-4veck, vecb=2veci-vecj+veck, vecc=veci-3vecj-5veck` , respectively form the vertices of a right angled triangle.

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Find the sum of the vectors veca = veci-2vecj+veck, vecb = -2veci+4vecj+5veck, vecc = veci-6vecj-7veck

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Show that the points A, B and C with position vectors, vec a= 3hat i-4 hatj -4 hat k, vec b= 2 hat i -hatj +hat k and vec c =hat i-3hat j-5 hat k , respectively, form the vertices of a right angled triangle.

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Show that the vectors 2veci-3vecj+4veck, -4veci+6vecj-8veck are collinear.

Compute the magnitude of the following vectors: vecb=2veci-7vecj-3veck ।

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PSEB-VECTOR ALGEBRA-Exercise
  1. Find the position vector of a point R which divides the line joining t...

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

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  3. Show that the points A, B and C with position vectors, veca=3veci-4ve...

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  4. If vec a and vec b are two collinear vectors then which of the followi...

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  5. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

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  6. Find the angle between the vectors veca=hati-2hatj+3hatk and vecb=3hat...

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  7. Find the projection of the vector hati + hatj on the vector hati -hatj

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  8. Find the projection of the vector veci + 3vecj + 7veck on the vector ...

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  9. Show that the given vector is a unit vector: (1/7)(2hati + 3hatj + 6h...

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  10. Show that the given vector is a unit vector: (1/7)(3hati - 6hatj + 2h...

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  11. Show that the given vector is a unit vector: (1/7)(6veci + 2vecj - 3v...

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  12. Find |veca| and |vecb|, if (veca+vecb)*(veca-vecb)=8 and |veca|=8|vecb...

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  13. Evaluate the product (3 hata-5hatb) cdot(2hata+7hatb)

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  14. Find the magnitude of two vectors veca and vecb, having the same magni...

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  15. Find |vecx|, if for a unit vector veca, (vecx - veca)cdot(vecx+veca)...

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  16. If veca = 2veci + 2vecj + 3veck, vecb = -veci + 2vecj + veck and vecc ...

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  17. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

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  18. If veca cdot veca = 0 and veca cdot vecab = 0, then what can be concl...

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  19. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, find...

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  20. If either vector veca = 0or vecb = 0, then veca cdot vecb = 0.But the...

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