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For vectors bar(a),bar(b),bar( c ),|bar(...

For vectors `bar(a),bar(b),bar( c ),|bar(a)-bar( c )|=|bar(b)-bar( c )|` then the value `(bar(b)-bar(a)).(bar( c )-(bar(a)+bar(b))/(2))=` ………..

A

0

B

`-1`

C

1

D

2

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If bar(a),bar(b) and bar( c ) are three vectors such that bar(a)+bar(b)+bar( c )=bar(0) and |bar(a)|=2,|bar(b)|=3 and |bar( c )|=5 , then the value of bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a) is ………..

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If |bar(a)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a)= ……………

If |bar(a)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a) = ……………

If bar(a),bar(b) and bar( c ) are unit vectors such that bar(a)+bar(b)+bar( c )=bar(0) , then the value of bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a)=…………

For three vectors bar(a),bar(b) and bar( c ),bar(a)xx(bar(b)xx bar( c ))=(bar(a)xx bar(b))xx bar( c ) then

bar(a) and bar(b) are unit vectors. |bar(a)+bar(b)|=sqrt(3) then the value of (3bar(a)-4bar(b)).(2bar(a)+5bar(b)) = ……………

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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. In a right angled triangle ABC, hypotenuse AB=P then bar(AB).bar(AC)+b...

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  2. squareABCDEF is a regular hexagone with each side a. bar(AB).bar(AF)+(...

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  3. For vectors bar(a),bar(b),bar( c ),|bar(a)-bar( c )|=|bar(b)-bar( c )|...

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  4. A unit vector is coplanner with bar(i)+bar(j)+2bar(k) and bar(i)+2bar(...

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  5. The angle between the unit vectors bar(a) and bar(b) is theta. If bar(...

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  6. For unit vectors bar(a) and bar(b), if bar(a)+2bar(b) and 5bar(a)-4bar...

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  7. bar(a)=2bar(i)-3bar(j)+6bar(k) and bar(b)=-2bar(i)+2bar(j)-bar(k) then...

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  8. bar(b)=3hatj+4hatk,bar(a)=hati+hatj. If bar(b(1)) and bar(b(2)) are co...

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  9. The unit vector bar(a) and bar(b) are perpendicualr to each other. The...

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  10. Vector bar(a)=6hati-3hatj,bar(b)=2hati-6hatj and bar( c )=-2hati+21hat...

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  11. bar(a),bar(b) and bar( c ) are unit vectors. The value of |bar(a)-bar(...

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  12. If bar(a),bar(b) and bar( c ) are perpendicualr to bar(b)+bar( c ),bar...

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  13. bar(a) and bar(b) are unit vectors. |bar(a)+bar(b)|=sqrt(3) then the v...

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  14. DeltaABC is an equilateral triangle. Its side is l. Any point P lies o...

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  15. vec(a)=2hati+hatj+hatk and vec(b)=hati-hatj-hatk are the adjacent side...

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  16. The position vectors of four points A, B, C and D in the plane are vec...

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  17. If vec(alpha)=(1)/(a)hati+(4)/(b)hatj+b hatk and vec(beta)=b hati+a ha...

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  18. The unit vectors vec(a),vec(b) and vec( c ) are not coplanar. If vec(a...

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  19. If vec(x)+vec(y)+vec(z)=0 and |vec(x)|=|vec(y)|=|vec(z)|=2 If the angl...

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  20. vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk,vec( c )=hati+hatj-2hatk...

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