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If vec a is a vector and m is a scal...

If ` vec a` is a vector and `m` is a scalar such that `m vec a= vec0` , then what are the alternatives for `m` and ` vec a?`

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To solve the problem, we need to analyze the equation given: \[ m \vec{a} = \vec{0} \] where \( \vec{a} \) is a vector and \( m \) is a scalar. ### Step 1: Understand the equation The equation states that the scalar \( m \) multiplied by the vector \( \vec{a} \) results in the zero vector \( \vec{0} \). ...
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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Prove that the sum of three vectors determined by the medians of a ...

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  2. If P is a point and A B C D is a quadrilateral and vec A P+ vec...

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  3. If vec a is a vector and m is a scalar such that m vec a= vec0 ...

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  4. If vec a , vec b are two vectors, then write the truth value of th...

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  5. A B C D is a quadrilateral. Find the sum the vectors vec B A , ve...

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  6. A B C D E is pentagon, prove that vec A B + vec B C + vec C D ...

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  7. If P ,Q and R are three collinear points such that vec P Q= vec a ...

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  8. Give a condition that three vectors vec a , vec b and vec c from ...

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  9. If vec a and vec b are two non-collinear vectors having the same ...

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  10. Find the unit vector in the direction of 3 hat i+4 hat j-12 hat kdo...

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  11. The vertices A , B , C of triangle A B C have respectively position ...

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  12. Find a unit vector parallel to the vector hat i+sqrt(3) hat j

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  13. Show that the four points A ,B ,C ,D with position vectors vec a , ve...

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  14. If vec a , vec b are the position vectors of A , B respectively, find...

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  15. Let vec a , vec b , vec c , vec d be the position vectors of the four...

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  16. 6). If vec P Q=3 hat i+2 hat j- hat k and the coordinates of P are ...

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  17. Prove that the points hat i- hat j ,4 hat i-3 hat j+ hat k and 2 hat ...

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  18. If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and ...

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  19. Can a vector have direction angles 45^0,60^0,120^0

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  20. A vector makes an angle of pi/4 with each of x-axis and y-axis F...

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