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

If `overline(a)=2hat(i)-hat(j)+5hat(k), overline(b)=-3hat(i)+2hat(j)` are the position vectors of points A, B respectively and points `C(overline(c))` divides the line segment AB internallly in the ratio 1:4 , then `overline(c)=`

A

`hat(i)-(2)/(5)hat(j)-4hat(k)`

B

`hat(i)-(2)/(5)hat(j)+4hat(k)`

C

`hat(i)+(2)/(5)hat(j)-4hat(k)`

D

`hat(i)+(2)/(5)hat(j)+4hat(k)`

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
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  2. If bar(p)=hat(i)-2hat(j)+hat(k)andbar(q)=hat(i)+4hat(j)-2hat(k) are po...

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

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

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

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

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

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

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

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

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  11. If the position vectors of points A, B, C and overline(a), overline(b)...

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  12. If the position vectors of points A, B, C and overline(a), overline(b)...

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  13. If the points A(overline(a)), B(overline(b)), C(overline(c)) are colli...

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  14. If overline(a), overline(b), overline(c) are position vectors of point...

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  15. If overline(a), overline(b), overline(c) are position vectors of point...

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  16. If overline(a), overline(b), overline(c) are position vectors of point...

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  17. If the points A(overline(a)), B(overline(b)), C(overline(c)) are colli...

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  18. Find the position vector of the point which divides the join of the po...

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  19. If the points A(3, 0, p),B(-1, q, 3), C(-3, 3, 0) are collinear, then

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  20. If the points A(2, p, 1),B(1, 2, q), C(3, 2, 1) are collinear, then

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