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If |bar(x)|=|bar(y)|=2 and (bar(x)" "^(h...

If `|bar(x)|=|bar(y)|=2` and `(bar(x)" "^(hat)bar(y))=theta` then `|bar(x)-bar(y)cos theta|` = ………..

A

`2sin""(theta)/(2)`

B

`sqrt(2)sin""(theta)/(2)`

C

`sqrt(2)sin theta`

D

`2 sin theta`

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The correct Answer is:
D
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. If (3hati+4hatj+9hatk) and (a hati-3hatj+1hatk) are perpendicualr to e...

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

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  3. If |bar(x)|=|bar(y)|=2 and (bar(x)" "^(hat)bar(y))=theta then |bar(x)-...

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  4. The projection of the vector (-4,-2,4) on (2,1,1) is ………….

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  5. The magnitude of the projection of vector (4, 1, 3) and (1, -2, 3) is ...

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  6. The unit vector perpendicular to (3,-4) in R^(2) is ………………

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  7. The unit vector perpendicualr to (3, 4)is ……………….

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  8. If |bar(x)|=|bar(y)|=1 and bar(x)|bar(y), then |bar(x)-bar(y)| =……………

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  9. bar(a)=(-3,1,0),bar(b)=(1,-1,-1) then |"Comp"(bar(b))bar(a)| = …………

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  10. If bar(a)+bar(b)+bar( c )=bar(0) and |bar(a)|=3,|bar(b)|=5,|bar( c )|=...

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  11. A(1, -2, 4), B(5, -1, 7), C(3, 6, -2) and D(4, 5, -1) are given vector...

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  12. In a right angled triangle ABC, hypotenuse AB=P then bar(AB).bar(AC)+b...

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

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

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

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

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

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

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

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

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