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State True or False: If vec a= vecb +...

State True or False:
If `vec a= vecb + vec c` then `|veca |= |vec b| + |vec c|`

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NCERT-VECTOR ALGEBRA-MISCELLANEOUS EXERCISE
  1. If theta is the angle between any two vectors veca and vec b, then...

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  2. The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hat k...

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  3. Show that the direction cosines of a vector equally inclined to the a...

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  4. Write down a unit vector in XY-plane, making an angle of 30° with the...

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  5. A girl walks 4 km towards west, then she walks 3 km in a direction 30...

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  6. Find the scalar components and magnitude of the vector joining the po...

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  7. Find the value of x for which x( hat i+ hat j+ hat k)is a unit vector...

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  8. Let vec a= hat i+4 hat j+2 hat k , vec b=3 hat i-2 hat j+7 hat kand ...

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  9. The scalar product of the vector hat i+ hat j+ hat kwith a unit vect...

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  10. If theta is the angle between two vectors veca and vecb, then veca...

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  11. Let -> aand -> bbe two unit vectors and is the angle between them...

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  12. If veca , vecb , veccare mutually perpendicular vectors of equal ma...

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  13. Prove that (veca+ vecb)*( veca+ vecb)=|veca|^2+| vecb|^2, if and only ...

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  14. The value of hat i . ( hat jxx hat k)+ hat j . ( hat i times hat k)+...

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  15. State True or False: If vec a= vecb + vec c then |veca |= |vec b| ...

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  16. Find the position vector of a point R which divides the line joining ...

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  17. If veca= hat i+ hat j+ hat k, vecb=2 hat i- hat j+3 hat k and vecc...

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  18. Find a vector of magnitude 5 units, and parallel to the resultant of ...

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  19. Show that the points A(1,2,8) , B(5,0,2) and C(11,3,7)are collinear, ...

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