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Let the vectors veca, vecb, vecc be give...

Let the vectors `veca, vecb, vecc` be given as `veca_1hati + veca_2hatj + veca_3hatk, vecb_1hati + vecb_2hatj + vecb_3hatk, vecc_1hati+vecc_2hatj + vecc_3hatk` . Then show that `vecaxx(vecb+vecc) = vecaxxvecb + vecaxxvecc`

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Let the vectors veca,vecb,vecc be given as : a_1hati+a_2hatj+a_3hatk,b_1hati+b_2hatj+b_3hatk,c_1hati+c_2hatj+c_3hatk . Then show that vecaxx(vecb+vecc)=vecaxxvecb+vecaxxvecc .

If veca=2hati-hatj+hatk , vecb=hati+3hatj-2hatk and vecc=3hati+hatj-hatk then show that (veca×vecb).vecc=veca.(vecb×vecc)

Let veca =hatj-hatk and vecc =hati-hatj-hatk . Then the vector b satisfying veca ×vecb+vecc =0 and veca.vecb = 3, is

If veca=7hati-2hatj+3hatk, vecb=hati-hatj+2hatk, vecc=2hati+8hatj , then find veca*(vecbxxvecc) and (vecbxxvecc)*veca .

If veca=hati+hatj+hatk and vecb=hatj-hatk , find a vector vecc such that vecaxxvecc=vecb and veca*vecc=3 .

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PSEB-VECTOR ALGEBRA-Exercise
  1. lambda ਅਤੇ mu ਪਤਾ ਕਰੋ, ਜੇਕਰ (2veci+6vecj+27veck)xx(veci+lambdavecj+muv...

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  2. Given that veca cdot vecb = 0 and vecaxxvecb = vec0. What can you conc...

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  3. Let the vectors veca, vecb, vecc be given as veca1hati + veca2hatj + v...

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  4. If either veca = vec0or vecb = vec0 then vecaxxvecb= vec0. Is the con...

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  5. Find the area of the triangle with vertices A(1,12), B(2,3,5), C(1,5,5...

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  6. Find the area of the parallelogram whose adjacent sides are determined...

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  7. Let the vectors veca and vecb be such that |veca| = 3 and |vecb| = sqr...

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  8. Area of a rectangle having vertices A, B, C and D with position vector...

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  9. Write down a unit vector in XY-plane, making an angle of 30^o with the...

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  10. Find the scalar components and magnitude of the vector joining the poi...

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  11. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

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  12. If veca = vecb + vecc, then is it true that |veca| = |vecb| + |vecc|?...

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  13. Find the value of x for which x(hati + hatj + hatk) is a unit vector.

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  14. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  15. If veca = hati + hatj+hatk, vecb = 2hati-hatj+3hatk and vecc = hati-2h...

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  16. Show that the points A(1,-2,-8), B(5,0,-2) and C(11,3,7) are collinear...

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

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  18. The two adjacent sides of a parallelogram are given by the vectors 2ha...

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  19. Show that the direction cosines of a vector equally inclined to the ax...

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

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