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Find the angle between the vectors vec(a...

Find the angle between the vectors `vec(a)` and `vec(b)`, if `|vec(a)xxvec(b)|=sqrt(3),|vec(a)|=2` and `|vec(b)|=1`.

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The correct Answer is:
`theta=60^(@)" or "theta=(pi)/(3)`
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ARIHANT PRAKASHAN-VECTORS -TOPIC -2 (PRACTICE QUESTIONS) (1 MARK QUESTIONS)
  1. If vec(a)xxvec(b)=vec(b)xxvec(c )!=vec(0), then prove that vec(a)+ve...

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  2. What is the angle between the vectors 2hat(i) - hat(j) - hat(k) and ha...

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  3. Determine the area of the parallelogram whose sides are the vectors 2h...

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  4. Using vector method find the area of the triangle with vertices (1, 0,...

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  5. Write the angle between vec(a) and vec(c ), if vec(a)xx(vec(b)xxvec(c ...

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  6. What is (hat(i)-hat(j))*(hat(j)-hat(i)) ?

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  7. (2hat(i)-4hat(j))*(hat(i)+hat(j)+hat(k))= . . . .

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  8. If vec(a)=hat(i)+2hat(j)-hat(k),vec(b)=hat(i)+hat(j)+2hat(k),vec(c )=2...

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  9. Each question given below have four possible answers, out of which onl...

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  10. Each question given below have four possible answers, out of which onl...

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  11. Each question given below have four possible answers, out of which onl...

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  12. (-vec(a))*vec(b)xx(-vec(c))= . . . .

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  13. For the non-zero vectors vec(a),vec(b) and vec(c ),vec(a)*(vec(b)xxvec...

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  14. What is the projection of hat i + hat j - hat k upon the vector hat i ...

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  15. If hat(a) is a unit vector and (vec(x) - hat(a)).(vec(x) + hat(a)) = 8...

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  16. If |vec(a)|=sqrt(3),|vec(b)|=2 and vec(a)*vec(b)=3, then find the angl...

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  17. Find the angle between the vectors vec(a) and vec(b), if |vec(a)xxvec(...

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  18. Find vec(a).(vec(b) xx vec(c)), if vec(a) = 2hat(i) + hat(j) + 3hat(k)...

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  19. Show that the vectors vec(a),vec(b) and vec(c ) are coplanar, if vec(a...

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  20. Evaluate [hat(i) hat(k) hat(j)] + [hat(i) hat(j)hat(k)].

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