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[bari-barj bark]+[-bari-barj bark]+...

`[bari-barj bark]+[-bari-barj bark]+[bari-bark bark]`=

A

0

B

1

C

`-1`

D

2

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The correct Answer is:
A
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If the position vectors of A,B and C are respectively 2bari-barj+bark, bari -3barj-5bark and 3bari - 4barj - 4bark, " then " cos^(2) A =

Find the value of lamda for which the four points with position vectors bari - 2barj + bark, 2bari - barj + lamdabark , 2bari + barj -bark and 3bari + barj - bark are coplanar.

Prove that the vectors bara= 2bari - barj + bark, barb = bari -3barj -5bark and barc=3bari -4barj -4bark are coplanar.

If bara = bari - 2barj - 3bark, barb = 2bari + barj - bark , barc = bari + 3barj - 2bark then find bar(a) xx (barb xx barc) and |(barb xx barc) xx barc | .

The perpendicular distance from origin to the plane passing through the points 2bari -2barj +bark, 3bari +2barj-bark, 3bari -barj-2bark is

Find the volume of the tetrahedron having the coterminus edges 2bari + barj +bark, bari -3barj +2bark, bari -bark .

If bara = bari - 2barj - 3bark , barb= 2bari + barj - bark , barc = bari + 3barj - 2bark find bara xx (barb xx barc) .

If the position vectors of the points A, B and C are -2bari+barj-bark , -4bari+2barj+2bark and 6bari-3barj-12bark respectively and barAB=lambdabarAC , then find the value of lambda .

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE-I
  1. If bara,barb,barc are unit coplanar vectors, then find [ 2bara-barb ...

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  2. [bara barb barc]+[bara barc barb]=

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  3. [bari-barj bark]+[-bari-barj bark]+[bari-bark bark]=

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  4. If bara, barb, barc are mutually perpendicular unit vectors then [bara...

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  5. If bara, barb, barc are the vectors parallel to the coordinate axes in...

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  6. The four points whose position vectors are 6bari -7 barj, 16bari -29ba...

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  7. For non - coplanar vectors bara,barb and barc determine p for which th...

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  8. Let a, b and c be distinct non-negative numbers. If the vectors abar(i...

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  9. If the three vectors 2bari -barj +bark, bari+ 2barj -3bark, 3bari + la...

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  10. Find the volume of the parallelopiped having co-terminus edges bari+ba...

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  11. The volume of parallelopiped with vectors bara+2barb-barc,bara-barb,ba...

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  12. The volume of Parallelopiped with edges bara+barb,barb+barc,barc+bara ...

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  13. The volume of a parallelopiped with coterminous edges bari+xbarj-x^(2)...

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  14. If the volume of tetrahedron with edges bari+barj-bark,bari+abarj+bark...

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  15. The volume of (in cubic units) of the tetrahedron with edges I + j + k...

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  16. If the vertices of a tetrahedron have the P.V.'s bar0, bari + barj, 2b...

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  17. bari,barj,bark is a right handed system of vectors and bara=2bari-25ba...

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  18. baraxx(barbxxbarc)+barbxx(barcxxbara)+barcxx(baraxxbarb)=

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  19. baraxx(barbxxbarc) is parallel to barb then

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  20. baraxx{baraxx(baraxxbarb)}=

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