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If the vectors overline(a)=hat(i)-hat(j...

If the vectors `overline(a)=hat(i)-hat(j)-6hat(k), overline(b)=hat(i)+phat(j)+4hat(k), overline(c)=2hat(i)-5hat(j)+3hat(k)` are coplanar, then p=

A

`-9`

B

`9`

C

`-3`

D

`3`

Text Solution

Verified by Experts

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

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  2. If the vectors overline(a)=hat(i)+hat(j)+hat(k), overline(b)=hat(i)-h...

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

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

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  5. If the vectors overline(a)=4hat(i)+13hat(j)-18hat(k), overline(b)=hat...

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

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  7. If the vectors overline(a)=hat(i)-2hat(j)+hat(k), overline(b)=phat(i)...

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  8. If the vectors overline(a)=hat(i)+hat(j)+hat(k), overline(b)=hat(i)-h...

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  9. If the vectors overline(a)=4hat(i)+11hat(j)+mhat(k), overline(b)=7hat...

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

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  11. Let overline(a)=hat(i)-hat(k), overline(b)=xhat(i)+hat(j)+(1-x)hat(k),...

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  12. If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+ha...

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  13. If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+ha...

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  14. If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahati...

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  15. If overline(a)=hat(i)+hat(j), overline(b)=hat(j)+hat(k), overline(c)=a...

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  16. Let a,b,c be distinct non- negative numbers . If the vectors ah...

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  17. Given vectors overline(a)=3hat(i)-6hat(j)-hat(k), overline(b)=hat(i)+4...

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  18. If the points A(2, 1, -1), B(0, -1, 0), C(lambda, 0, 4), D(2, 0, 1) ar...

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  19. If the points P(1, -1, -1), Q(3, 1, lambda), R(0, 2, 1), S(-2, 0, 1) a...

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  20. If the points A(-6, 3, 2), B(3, -2, 4), C(5, 7, 3), D(-13, lambda, -1)...

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