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If bara,barb and barc be there non-zero ...

If `bara,barb and barc` be there non-zero vectors, no two of which are collinear. If the vectors `bara+2barb` is collinear with `barc and barb+3barc` is collinear with a, then (`lambda` being some non-zero scalar)`bara+2barb+6barc` is equal to

A

`lamda bara`

B

`lamda barb`

C

`lamda barc`

D

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The correct Answer is:
D
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FIITJEE-VECTOR-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. If bara,barb barc and bard are non-zero, non-collinear vectors such th...

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  2. IF barx and bary non zero linearly independent vectors such that |barx...

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  3. If bara,barb and barc be there non-zero vectors, no two of which are c...

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  4. If bara and barb are unit vectors and barc satisfies 2(hata times hatb...

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  5. Let barb = -1hati+4hatj+6hatk and barc=2hati-7hatj-10hatk IF bara be a...

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  6. A unit vector is orthogonal to 5hati+2hatj+6hatk and is coplanar to 2h...

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  7. IF (sec^2A)hati+hatj+hatk, hati+(sec^2 B)hatj+hatk and hati+hatj+(sec^...

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  8. Let bara,barb and barc be non-zero vectors such that (bara times barb)...

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  9. In a triangle OAB, E is the midpoint of OB and D is a point on AB such...

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  10. Unit vector barc is inclined at an angle theta to unit vector bara tim...

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  11. Let vec(alpha),vec(beta) and vec(gamma be the unit vectors such that v...

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  12. Unit vectors hata and hat b are inclined at an angle 2theta and |hat a...

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  13. IF the non-zero vectors bara and barb are perpendiculars to each other...

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  14. If the lines barr={a+1(1-a)}hati+(a-ta)hatj+{c+t(1-c)}hatk and barr1={...

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  15. IF barA=hati-3hatj+4hatk,barB=6hati+4hatj-8hatk,barC=5hati+2hatj+5hatk...

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  16. If hatd is a unit vectors such that hatd=lamdabarb times barc+mubarc t...

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  17. (bara times hati)^2+(bara+hatj)^2+(bara times hatk)^2 is equal to

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  18. If bara and barb are two unit vectors at 120^@ and c is any vector inc...

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  19. In a triangle ABC, angleA=30^@ H is the orthocentre and D is the midpo...

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  20. IF bara,barb,barc are non-coplanar vectors and lamda is a real number ...

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