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lambda ਅਤੇ mu ਪਤਾ ਕਰੋ, ਜੇਕਰ (2veci+6vecj...

`lambda ਅਤੇ mu` ਪਤਾ ਕਰੋ, ਜੇਕਰ `(2veci+6vecj+27veck)xx(veci+lambdavecj+muveck) = vec0`

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Find lambda and mu if : (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk)=vec0 .

Find |veca xx vecb| if veca = 2veci + vecj + 3veck and vecb = 3veci + 5vecj - 2veck

Find a unit vector perpendicular to each of the vector veca + vecb and veca - vecb where veca = 3veci + 2vecj + 2veck and vecb = veci + 2vecj - 2veck

Find the projection of the vector veca = 2veci + 3vecj + 2veck on the vector vecb = veci + 2vecj + veck

Find |vecaxxvecb| , if veca = veci - 7vecj + 7veck and vecb = 3veci - 2vecj + 2veck

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are P(veci+2vecj-veck) and Q(-veci+vecj+veck) respectively, in the ratio 2 : 1, internally.

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are P(veci+2vecj-veck) and Q(-veci+vecj+veck) respectively, in the ratio 2 : 1, externally.

If veca = 2veci + 2vecj + 3veck, vecb = -veci + 2vecj + veck and vecc = 3veci + vecj are such that veca + lambdavecb is perpendicular to vecc , then find the value of lambda

For given vectors, veca = 2veci - vecj + 2veck, vecb = -veci + vecj - veck find the unit vector in the direction of the vector veca+vecb

PSEB-VECTOR ALGEBRA-Exercise
  1. If a unit vector veca, makes angles pi/3with hati, pi/4wih hatj and...

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  2. Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb)

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  3. lambda ਅਤੇ mu ਪਤਾ ਕਰੋ, ਜੇਕਰ (2veci+6vecj+27veck)xx(veci+lambdavecj+muv...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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