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Find the perpendicular distance from ori...

Find the perpendicular distance from origin to the plane passing through the points having position vectors `i - barj + 2bark, 2bari + barj, bari + barj - bark` .

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

The perpendicular distance from origin to the plane passing through the point bara = 2bari +3barj -bark " and perpendicular to the vector " 3bari -2barj-2bark is

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.

Find the volume of the parallelopiped having co-terminus edges bari+barj+bark, bari-barj,bari+2barj-bark .

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

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

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

Show that the equation of plane passing through the points with position vectors 3bari-5barj-bark,-bari+5barj+7bark and parallel to the vector 3bari-barj+7bark is 3x+2y-z=0

Find the value of [bari+barj+bark,bari-barj,bari+2barj-bark] .

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. Find the perpendicular distance from origin to the plane passing throu...

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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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