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Find the value of lamda for which the fo...

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.

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The four points whose position vectors are 6bari -7 barj, 16bari -29barj-4bark, 3barj-6bark, 2bari +5barj +10bark are

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Show that the vectors bara= bari + 3barj + bark, barb =2bari - barj-bark and barc=7barj +3bark are coplanar.

Prove that the four points 4bari + 5barj +bark, - (barj + bark) , 3bari + 9barj + 4bark , - 4bari + 4barj +4bark are coplanar.

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

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 =

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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. Find the value of lamda for which the four points with position vector...

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  2. Which of the following are meaningful ?

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  3. Which of the following is meaningless ?

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  4. If bara.bari = 4 then (bara xx barj).(2barj - 3bark) =

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  5. [baribarjbark]+[barjbarkbari]+[barkbaribarj]+[baribarkbarj]+[barjbarib...

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  6. If [veca vecb vecc]=1 then (bara.(barbxxbarc))/((barcxxbara).barb)+(...

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  7. If bara,barb,barc are non-coplanar vectors and (bara+2barb+barc).(bara...

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  8. If bara, barb, barc are the sides of a triangle ABC then [barabarb bar...

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  9. If the vectors abari+barj+bark,bari+bbarj+bark,barI+barj+cbarK are cop...

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  10. If the vectors (a, b, c), (b, c, a) and (c, a, b) are linealy dependen...

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  11. The volume of a parallelopiped whose edges are represented by -12bari+...

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  12. The volume of the rectangular box whose coterminal edges along axes of...

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  13. If barx.bara=barx.barb=barx.barc=0 for some non-zero vector barx and a...

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  14. The volume of the tetrahedron having the edges barI+2barj-bark,bari+ba...

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  15. If bara,barb are non-zero and non-collinear vectors then [bara barb ba...

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  16. Which of the following statement is not true

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  17. If bara is perpendicular to barbxxbarc, then which of the following is...

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  18. barixx(barjxxbark)+barjxx(barkxxbari)+barkxx(barixxbarj)=

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  19. barixx(barixxbara)+barjxx(barjxxbara)+barkxx(barkxxbara)=

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  20. If barb, barc are like unit vectors and baraxx (barbxx barc) = bar0 th...

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  21. If bara, barb are two unit perpendicular vectors then baraxx (baraxx b...

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