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The two vectors are vec(A) = hat(i) + ha...

The two vectors are `vec(A) = hat(i) + hat(j)` and `vec(B) = hat(i) - hat(j)` . What is the angle between them ?

A

45°

B

90°

C

`-45°`

D

180°

Text Solution

Verified by Experts

The correct Answer is:
B
Here `costheta=(vec(A).vec(B))/|AB|=(1-1)/|(AB)|=0`
`:. theta=90^@`
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MODERN PUBLICATION-DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION-MCQ(LEVEL-II)
  1. Which of the following statement is correct about the scalar quantity ...

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  2. Two vectors vec(u) and vec(v) given by vec(u) = ahat(i)+bhat(j) and ve...

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  3. The two vectors are vec(A) = hat(i) + hat(j) and vec(B) = hat(i) - hat...

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  4. The component of a vector vec(r) along x- axis will have a maximum val...

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  5. The horizontal range of a projectile projected with a velocity V at an...

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  6. If the vectors vec(a) and vec(b) are such that |vec(a) + vec(b)|=|vec(...

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  7. If |vec(a) + vec(b)| = |vec(a) - vec(b)| then

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  8. An aeroplane is flying at a height of 2000 m above the ground horizont...

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  9. The torque of a force vecF=-3hati+hatj+5hatk acting at a point is vect...

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  10. The position vectors of radius are vec(r(1))=2hati+hatj + hatk , vec(r...

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  11. A force vector applied on a mass is represented by vec(F)=6hati + 8hat...

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  12. Which vector should be added to 2hati + 4hatj -3hatk and 3hati-5hatj+7...

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  13. The sum of the magnitude of two vectors is 18. The magnitude of their ...

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  14. If unit vectors vec(A) and vec(B) are inclined at an angle theta then ...

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  15. Angle which the vector vec(A)=2hati + 3hatj makes with the y-axis is g...

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  16. If the magnitude of the vector product is sqrt(3) times the magnitude ...

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  17. A particle of mass m = 5 is moving with uniform speed v = 3sqrt(2) in ...

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  18. The velocity of projection of an oblique projectile is (6hati + 8hatj)...

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  19. A projectile is thrown at angel with vertical. It reaches a maximum he...

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  20. A ball is projected from a certain point on the surface of a planet at...

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