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

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`.

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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

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

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk then find a unit vectors parallel to vector 2veca-vecb+vecc .

Find veca*(vecbxxvecc) if : veca=2hati+hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj+2hatk .

If veca=2hati-hatj+hatk,vecb=3hati+2hatj-3hatk and vecc=hati+2hatj+hatk then 2veca+vecb-vecc=

MODERN PUBLICATION-VECTORS-Exercise
  1. Find lambda and mu if : (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk)...

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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 : a1hati+a2hatj+a3hatk,b1ha...

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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. Determine the area of a parallelogram whose adjacent sides are represe...

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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,vecc=hati-2hatj+hatk, the...

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

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