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If overline(a)=hat(i)+2hat(j), overline(...

If `overline(a)=hat(i)+2hat(j), overline(b)=-2hat(i)+hat(j), overline(c)=4hat(i)+3hat(j) and overline(c)=xoverline(a)+yoverline(b)`, then

A

`x=2, y=1`

B

`x=-2, y=1`

C

`x=2, y=-1`

D

`x=-2, y=-1`

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The correct Answer is:
C
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If overline(a)=hat(i)-hat(j)-2hat(k), overline(b)=2hat(i)-hat(j)-hat(k...

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  2. If overline(a)=hat(i)+3hat(j), overline(b)=2hat(i)+5hat(j), overline(c...

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  3. If overline(a)=hat(i)+2hat(j), overline(b)=-2hat(i)+hat(j), overline(c...

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  4. If overline(a)=2hat(i)-hat(j)+3hat(k), overline(b)=hat(i)-2hat(j)+4hat...

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  5. If overline(a)=2hat(i)+hat(j)-4hat(k), overline(b)=2hat(i)-hat(j)+3hat...

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  6. If overline(a)=2hat(i)-hat(j)+hat(k), overline(b)=hat(i)+3hat(j)-2hat(...

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  7. If overline(a), overline(b), overline(c) are three coplanar vectors, t...

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  8. If overline(a), overline(b), overline(c) are non-coplanar and the vect...

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  9. If overline(a), overline(b), overline(c) are non-coplanar and the vect...

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  10. If overline(a), overline(b), overline(c) are non-coplanar and the vect...

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  11. If bar(p)=hat(i)-2hat(j)+hat(k)andbar(q)=hat(i)+4hat(j)-2hat(k) are po...

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  12. If bar(p)=hat(i)-2hat(j)+hat(k)andbar(q)=hat(i)+4hat(j)-2hat(k) are po...

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  13. If overline(a)=2hat(i)-hat(j)+5hat(k), overline(b)=-3hat(i)+2hat(j) ar...

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  14. Find the corrdinates of the point which divides the line segment joini...

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  15. If the point C divides the line segment joining the points A(4, -2, 5)...

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  16. If the point C divides the line segment joining the points A(2, -1, -4...

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  17. Find the corrdinates of the point which divides the line segment joini...

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  18. The co-ordinates of the points which trisects the line segment joining...

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  19. If the position vectors of points P, Q, R and overline(P), overline(q)...

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  20. If the position vectors of points P, Q, R and overline(P), overline(q)...

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