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Find the value of `lambda` such that the following vectors are coplanar: `-hati+lambdahatj -lambdahatk, 2hati+4hatj +5hatk, -2hati+4hatj -4hatk`

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Find the value of lambda such that the following vectors are coplanar: -hati+lambda hat j-lambda hatk, 2hat i+4 hat j+5 hat k, -2 hati+4 hatj-4hat k .

Show that the following vector are co-planar. hati-2hatj+2hatk, 3hati+4hatj+5hatk, -2hati+4hatj-4hatk .

Show that the following vector are co-planar. hati+2hatj+3hatk, -2hati-4hatj+5hatk, 3hati+6hatj+hatk

Find the value of lambda so that the three vectors are co-planar. hati+2hatj+3hatk, 4hati+hatj+lambdahatk and lambdahati-4hatj+hatk

Find the value of lambda so that three vectors veca=2hati-hatj+hatk, vecb=hati+2hatj-3 hatk and vecc= 3hati +lambda vecj+5 hatk are coplanar.

Find the value of lambda so that the vectors veca and vecb are perpendicular to each other. veca = 2hati-hatj-hatk , vecb = lambdahati+hatj+5hatk

Find the value of lambda so that the vectors veca and vecb are perpendicular to each other. veca = 3hati+4hatj , vecb = -5hati+lambdahatj .

Find the value of ‘a’ such that the vector 6hati+2hatj-3hatk is perpendicular to hati+6hatj+ahatk

Find the value of lambda so that the vectors veca and vecb are perpendicular to each other. veca = hati+hatj+lambdahatk , vecb = 4hati-3hatk

Find the scalar product of the following pairs of vectors and the angle between them. 3hati-4hatj and -2hati+hatj

SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...

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  2. Find the scalar projection of the vector veca = 3hati+6hatj + 9hatk on...

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  3. Find the value of lambda such that the following vectors are coplanar:...

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  4. Prove that four points with position vectors hati+hatj-3hatk, 2hati -h...

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  5. Using vector method find the area of the triangle with vertices (1, 0,...

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  6. Write the volume of the parallelopiped whose sides are given by-hatj, ...

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  7. If the magnitude of the difference of two unit vectors is sqrt3 then f...

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  8. Write a vector normal to hati+hatk and hati+hatj.

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  9. If vec a = (2,-2,1), vec b = (2,3,6) and vec c = (-1,0,2),Find the mag...

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  10. Find the angle between the vectors 3hati+ 4hatj and2hati+hatj+hatk.

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  11. Find the unit vector in the direction of veca-vecb where veca= 4hati +...

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  12. If a and b are perpendicular vectors show that (veca+vecb)^2 = (veca-v...

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  13. Prove that vecaxx(vecbxxvecc)+ vecbxx(veccxxveca)+veccxx(vecaxxvecb) =...

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  14. If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...

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  15. Prove that the four points with position vectors 2veca+3vecb-vecc, vec...

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  16. Show that veca, vecb and vec c are coplanarif veca+vecb,vecb+vecc and ...

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  17. Find the vector vecp which is perpendicular to both vecalpha = 4hati +...

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  18. If veca=hati+hatj+hatk and vecb=hati-hatk . Find a vector vecc such th...

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

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  20. If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...

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