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Three point A, B and C with position vec...

Three point A, B and C with position vectors `a_(1)=3hati-2hatj-hatk, a_(2)=hati+3hatj+4hatk and a_(3)=2hati+hatj-2hatk` relative to an origin O. The distance of A from the plane OBC is (magnitude)

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Let A, B, C be points with position vectors r_(1)=2hati-hatj+hatk, r_(2)=hati+2hatj+3hatk and r_(3)=3hati+hatj+2hatk relative to the origin 'O'. The shortest distance between point B and plane OAC is

Let A,B,C be points with position vectors r_1=2hati-hatj+hatk,r_2=hati+2hatj+3hatk and r_3=3hati+hatj+2hatk relative to the origin O. Find the shortest distance between point B and plane OAC.

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

The points with position vectors 5hati + 5hatk, -4hati + 3hatj - hatk and 2hati +hatj + 3hatk

Show that the vectors 4hati-hatj+hatk, 3hati-2hatj-hatk and hati+hatj+2hatk are co-planar.

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

Show that the vectors hati-3hatj+2hatk, 2hati-4hatj-hatk and 3hati+2hatj-hatk are linearly independent

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FIITJEE-VECTOR-SOLVED PROBLEMS (OBJECTIVE)
  1. barA,barB,barC are three vectors respectively given by 2hati+hatk,hati...

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  2. The number of distinct real values of lamda for which the vectors -lam...

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  3. If bara=i+j+k,bara.barb=1 and baraxxbarb=j-k, then : barb=

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  4. IF bara,barb,barc are unit vectors such that bara+barb+barc=0 then the...

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  5. If bara and barb are two unit vectors and theta is the angle between t...

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  6. If bara,barb,bar c are position vectors of the non- collinear points ...

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  7. Find a unit vector in XY plane, which makes an angle of 45^@ with the ...

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  8. OABC is a tetrahedron. The position vectors of A, B and C are i, i+j a...

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  9. Consider the points A (baro),B(3hati+f(t) hatj+hatk) and C(2hati+f'(t)...

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  10. If vectors ax hati+3hatj-5hatk and xhati+2hatj+2axhatk make an acute a...

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  11. the vector which is orthogonal to the vector 3hati+2hatj+6hatk and is ...

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  12. IF the vector bara and barb are non-coplanar then bara/|bara|+barb/|b...

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  13. Let barA= hati + 2hatj + 3hatk and vec B = 3hati + 4hatj + 5hatk The...

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  14. Let barA= hati + 2hatj + 3hatk and vec B = 3hati + 4hatj + 5hatk Equ...

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  15. If bara=hati+2hatj-3hatk,barb=2hati+hatj-hatk and baru is vector satis...

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  16. A,B,C,D are four points in space and |bar(AB) times bar(CD) +bar(BC) t...

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  17. The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+1...

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  18. Three point A, B and C with position vectors a(1)=3hati-2hatj-hatk, a(...

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  19. Match the following

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  20. Match the following

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