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Let hat(a), hat(b) be two unit vectors a...

Let `hat(a), hat(b)` be two unit vectors and 0 be the angle between them.
What is `sin ((theta)/(2))` equal to

A

`(|hat(a)- hat(b)|)/(2)`

B

`(|hat(a)+ hat(b)|)/(2)`

C

`(|hat(a)- hat(b)|)/(4)`

D

`(|hat(a) + hat(b)|)/(4)`

Text Solution

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The correct Answer is:
A
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PUNEET DOGRA-VECTOR-Prev Year Questions
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  2. Let hat(a), hat(b) be two unit vectors and 0 be the angle between them...

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  3. Let hat(a), hat(b) be two unit vectors and 0 be the angle between them...

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  4. If the vectors alpha hat(i) + alpha hat(j) + gamma hat(k). hat(i) + ha...

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  5. The area of the square, one of whose diagonals is 3hat(i)+ 4hat(j) is:

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  6. Let ABCD be a parallelogram whose diagonals intersect at P and let O b...

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  7. If vec(b) and vec(c ) are the position vectors of the points B and C r...

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  8. If the position vector vec(a) of the point (5, n) is such that |vec(a)...

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  9. If |vec(a)|=2 and |vec(b)|=3, then |vec(a) xx vec(b)|^(2)+ |vec(a).vec...

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  10. Consider the following inequalities in respect of vector vec(a) and ve...

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  11. If the magnitude of difference of two unit vectors is sqrt3, then the ...

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  13. The adjacent sides AB and AC of a triangle ABC are represented by the ...

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  14. A force F= 3hat(i) + 4hat(j) - 3hat(k) is applied at the point P. whos...

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  15. If |a|=7, |b|=11 and |a+b|=10 sqrt3, then |a-b| is equal to

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  16. Let alpha, beta and gamma be distinct real numbers. The points with po...

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  17. If |a+b|= |a-b|, then which one of the following is correct?

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  18. Given that the vector alpha and beta are non-collinear. The value of x...

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  19. If a+b+c=0, then which of the following is/are correct? 1. a,b,c are...

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  20. If |a|=2, |b|=5 and |a xx b|=8, then what is a, b equal to ?

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