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If `overline(a), overline(b), overline(c)` are non-coplanar and the vectors `overline(p)=2overline(a)-4overline(b)+4overline(c), overline(q)=overline(a)+moverline(b)+4overline(c), overline(r)=-overline(a)+2overline(b)+4overline(c)` are collinear then m=

A

`6`

B

`-6`

C

`2`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
C
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If overline(a), overline(b), overline(c) are non-coplanar vectors and the vectors overline(p)=-overline(a)+3overline(b)-5overline(c), overline(q)= -overline(a)+overline(b)+overline(c) and overline(r)= 2overline(a)-3overline(b)+overline(c) are coplanar such that overline(p)=moverline(q)+noverline(r) , then

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If overline(a), overline(b) and overline(c) are three non-coplanar vectors, then [[overline(a)+overline(b)+overline(c), overline(a)-overline(c), overline(a)-overline(b)]]=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
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  2. If overline(a), overline(b), overline(c) are non-coplanar and the vect...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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