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The magnitude of the projection of vecto...

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

A

`(15)/(sqrt(14))`

B

`(15)/(14)`

C

`(11)/(14)`

D

`(11)/(sqrt(14))`

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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