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Find (veci+vecj).{(vecj+veck) X (veck+ve...

Find `(veci+vecj).{(vecj+veck) X (veck+veci)}`:

A

2

B

1

C

-2

D

-1

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The correct Answer is:
A
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Show that the straigh lines vecr=(veci+vecj-veck)+lambda(3veci-vecj) vecr=(4veci-veck)+mu(2veci+3veck) are coplanar . Find the vector equation of the which they lie.

A unit vector coplanar with veci + vecj + 2veck and veci + 2 vecj + veck and perpendicular to veci + vecj + veck is _______

Examine the following vectors for linear independence : i. veci+vecj+veck, 2veci+vecj-veck, -veci -2vecj+2veck ii. 3veci+vecj-veck, 2veci-vecj+7veck, 7veci-vecj+13veck

find the shortest distance between the skew lines. vecr=(veci-vecj)+lambda(2veci+vecj+veck) and vecr=(veci+vecj-veck)+mu(2veci-vecj-veck)

If veca=2veci+vecj-veck , vecb=veci+2vecj+veck and vecc=veci-vecj+2veck then veca.(vecbxxvecc) =

Show that the points whose position vectors are 4veci +5vecj+veck , -vecj-veck , and 3veci+9vecj +4veck and -4veci+4vecj+4veck are co planar.

Find the Projection of veca=2veci+vecj+2veck on vecb=5veci-vecj+3veck .

find the shortest distance between the skew lines. vecr=(2veci-vecj-veck)+t(veci-2vecj+3veck) and vecr=(veci-2vecj-veck)+s(2veci-2vecj-3veck)

Given veca=2veci+vecj-8veck and vecb=veci+3vecj-4veck then |veca+vecb|= ……….. .

If veca=2veci+3vecj-5veck , vecb=-veci-vecj+2veck and vecc=4veci-2vecj+2veck Show that (vecaxxvecb)xxveccnevecaxx(vecbxxvecc) .

PREMIERS PUBLISHERS-Vector Algebra -I-Choose Correct Option
  1. Find the odd man out.

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  2. Find which in suitable for the blank space given below:|veca.vecb|…….....

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  3. Assertion If D is the midpoint of the side BC of a triangle ABC then v...

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  4. Assertion If G is the centroid of the triangle ABC then vecGA+vecGB+v...

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  5. Find (veci+vecj).{(vecj+veck) X (veck+veci)}:

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  6. If veca +5vecb and 4veca+mvecbare parallel then m is :

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  7. If the projection of veca on vecb and projection of vecb on veca ar...

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  8. If 60^(@), 45^(@), alpha^(@)are the directional angles of a vector vec...

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  9. If aplha, beta, gamma are the directional angles of a vector then sin^...

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  10. If vecr=(5veca-3vecb)/2, then the point P whose position vector rdivid...

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  11. The Position vectors of A,B,C are 3veci+2vecj-veck, 2veci+4vecj+5veck ...

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  12. The projection of 2veci-vecj+2veck on veci+2vecj+2veck is :

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  13. If vec a,vecb,vecc are sides of triangle taken in order then avec+bvec...

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

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  15. If the points where position vector 5veci+3vecj,2veci-vecj and xveci+3...

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  16. If vecaand vecb are unit vector which are included at an angle of 360^...

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  17. If veca and vecb are of equal magnitude and angle between them is 30^(...

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  18. In a quadrilateral ABCD, vecAB+vecBC+ vecCD is:

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  19. If the vectors 2veci+vecj-veck, veci+3vecj-4veck and -veci-4vecj+lambd...

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  20. (i) dot product of two vectors is not commutative (ii) If veci,vecj,ve...

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