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vec b,vec c being non-collinear if vec...

` vec b,vec c` being non-collinear if ` vec a xx (vec bxxvec c)+(vec a*vec b)vec b=(4-2x-siny)vec b+(x^2-1)vecc` and `(vec c *vec c)vec a=vec c` , then

A

A. x=1

B

B. `x=-1`

C

C. `y=(4n+1)(pi)/(2), ninI`

D

D. `y=(2n+1)(pi)/(2), ninI`

Text Solution

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The correct Answer is:
A, C
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
  1. If veca and vecb are two vectors and angle between them is theta , the...

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  2. If the unit vectors e(1) and e(2) arke inclined at an angle 2theta and...

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  3. vec b,vec c being non-collinear if vec a xx (vec bxxvec c)+(vec a*ve...

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  4. If in triangle A B C , vec A B= vec u/(| vec u|)- vec v/(| vec v|)a n ...

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  5. If a, b and c be the three non-zero vectors satisfying the condition a...

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  6. Given the following informations about the non-zero vectors A, B and C...

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  7. Find the area of the triangle having all side equal to 8.

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  8. Given vectors U=2hat(i)+3hat(j)-6hat(k), V=6hat(i)+2hat(j)+2hat(k). F...

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  9. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j + hat k and ve...

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  10. Three vectors veca,vecb,vecc are such that vecaxxvecb= 3(vecaxxvecc)Al...

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  11. Let a, b and c be non-zero vectors and |a|=1 and r is a non-zero vecto...

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  12. If veca and vecb are two unit vectors perpendicular to each other and...

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  13. Given three non-coplanar vectors OA=a, OB=b, OC=c. Let S be the centre...

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  14. If a=hat(i)+hat(j)+hat(k) and b=hat(i)-hat(j), then(a*hat(i))hat(i)+(a...

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  15. If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k. The ...

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  16. Which of the following statement(s) is/are true?

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  17. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

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  18. If a,b and c are three non-zero vectors, then which of the following s...

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  19. Let veca and vecb be two non- zero perpendicular vectors. A vector vec...

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  20. If a and b are any two unit vectors, then the possible integers in the...

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