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If a, b and c are non-collinear unit vec...

If a, b and c are non-collinear unit vectors also b, c are non-collinear and `2atimes(btimesc)=b+c`, then

A

angle between a and c is `60^(@)`

B

angle between b and c is `30^(@)`

C

angle between a and b is `120^(@)`

D

b is perpendicular to c

Text Solution

Verified by Experts

The correct Answer is:
A, C
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
  1. Let a, b and c be non-zero vectors and |a|=1 and r is a non-zero vecto...

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

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

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  4. 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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  5. 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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  6. Which of the following statement(s) is/are true?

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

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

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

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

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  11. If a is perpendicular to b and p is non-zero scalar such that pr+(r*b)...

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  12. In a four-dimensional space where unit vectors along the axes are h...

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  13. A vector(d) is equally inclined to three vectors a=hat(i)-hat(j)+hat(k...

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  14. Find the nth term of AP whose first term is 12 and common difference i...

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  15. Given three vectors a,b and c are non-zero and non-coplanar vectors. T...

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  16. Find the nth term of GP if the first term is 7 and common ratio is 3.

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  17. If vectors veca and vecb are two adjecent sides of a paralleogram, the...

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  18. Let a, b, c be three vectors such that each of them are non-collinear,...

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  19. If a, b and c are non-collinear unit vectors also b, c are non-colline...

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  20. If a=(1)/(7)(2hat(i)+3hat(j)+6hat(k)): b=(1)/(7)(6hat(i)+2hat(j)-3hat...

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