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Find the cosines of the angles made by b...

Find the cosines of the angles made by `bara = 2bari+3barj+6bark` with the X, Y, Z - axes.

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The angle made by the vector 2bari+3barj+6bark " with X-axis is " cos^(-1)(k) , then k =

Find the equation of the plane passing through the point bara =2bari +3barj-bark " and perpendicular to the vector " 3bari-2barj-2bark and the distance of this plane from the oringin.

Find the set of vectors reciprocal to the set of vectors bara= 2bari +3barj-bark, barb = bari - barj-2bark, barc=--bari +2barj +2bark

The magnitude of the projection of the vector bara=4bari-3barj+2bark on the line which makes equal angles with coordinate axes is

Find the angle between the vectors bari+2barj+3bark" and "3bari-barj+2bark .

Equation of the sphere described on the join of the points bara=2bari+barj-bark and barb=bari-barj+bark as diameter, is

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 .

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

If bara = bari + 2barj - 3bark and barb = 3bari - barj + 2bark , then find the cosine of the angle between 2bara+barb and bara+2barb .

AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-PRACTICE EXERCISE
  1. Find the cosines of the angles made by bara = 2bari+3barj+6bark with t...

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  2. If barmu =bara-barb, barv=bara+barb and absbara=absbarb, " then " barm...

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  3. If bara,barb,barc " are unit vectors such that " bara+barb+barc=bar0, ...

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  4. The angle made by the vector 2bari+3barj+6bark " with X-axis is " cos^...

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  5. If bara,barb are two vectors of length 2, 1 respectively and abs(bara-...

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  6. If absbara = 3, absbarb =4 and (bara,barb)=(2pi)/3 , " then the value ...

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  7. Let bare(1) and bare(2) be unit vectors which include an angel theta....

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  8. If bara+barb+barc =bar0 , " then " bara.bara+barb.barb+2(bara.barb)-ba...

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  9. If absbara =5, absbarb =4, absbarc =3 and bara+barb+barc = bar0 ," the...

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  10. If bara,barb,barc are three vectors of equal magnitude and angle betw...

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  11. absbara=absbarb=absbarc=abs(bara+barb+barc)=1 and bara bot barb , (bar...

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  12. If bara,barb,barc are three vector such that each is inclined at an a...

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  13. The scalar product of the vector bari+barj+bark " with the unit vector...

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  14. The angle between the vectors bara and barb " is " 60^(@). " The the a...

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  15. The vectors barx and bary " satisfy " 2barx +bary =barp and barx+2bary...

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  16. Let bara,barb,barc " be unit vectors and " barx=bara+barb+barc . " I...

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  17. If abs(bara+barb)lt abs (bara-barb) " then the angle between " bara an...

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  18. If a,b,c are p^(th),q^(th),r^(th) " terms of an H.P and " baru=(q-r...

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  19. If bara,barb,barc " are three mutually perpendicular vectors such that...

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  20. If the angle between the vectros (x,3,-7) and (x,-x,4) is acute, then ...

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  21. The value of c so that all real 'x' the vectors cxbari - 6barj+3bark, ...

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