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Find the scalar components and magnitude of the vector joining the points `P(x_1,y_1,z_1)`and `Q(x_2,y_2,z_2)`

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Vector of joining `P(x_(1),y_(1),z_(1))` and `P(x_(1),y_(1),z_(1))` is :
PQ = Position vector of Q - Position vector of P
`=(x_(2)hat(i) + y_(2)hat(j) + z_(2)hat(k)) - (x_(1)hat(i) + y_(1)hat(j) + z_(1)hat(k))`
`=(x_(2) - x_(1)) hat(i) + (y_(2) - y_(1))hat(j)+ (z_(2) - z_(1)) hat(k)`
Scalar component of PQ are `x_(2)-x_(1), y_(2) -y_(1), z_(2)-z_(1)`.
Magnitude of `vec(PQ)`
`|vec(PQ)| = sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)+(z_(2)-z_(1))^(2))`
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NAGEEN PRAKASHAN ENGLISH-VECTORS-Miscellaneous Exercise
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  2. Find the scalar components and magnitude of the vector joining the po...

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

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  4. If veca= vecb+ vecc, then is it true that | veca|=| vecb|+| vecc|?...

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  5. Find the value of x for which x\ ( hat i+ hat j+ hat k) is a unit vect...

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  6. Find a vector of magnitude 5 units and parallel to the resultant of th...

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  7. If veca= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k and ...

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  8. Show that the points A(1,-2,-8),B(5,0,-2)a n dC(11,3,7) are collinear,...

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  9. Find the position vector of a point R which divides the line joinin...

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

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

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

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  13. The scalar product of the vector vec a= hat i+ hat j+ hat k with a un...

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  14. If vec a ,\ vec b ,\ vec c are three mutually perpendicular vectors...

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  15. Prove that ( veca+ vec b).( vec a+ vecb)= | veca|^2+| vec b|^2 , if an...

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  16. If theta is the angle between two vectors vec a\ a n d\ vec b ,\ t h...

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  17. Let vec a\ a n d\ vec b be two unit vectors and alpha be the angle b...

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  18. The value of hat(i).(hat(j) xx hat(k))+ hat(j). (hat(i) xxhat(k)) +...

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  19. If theta is the angle between any two vectors veca and vecb , t...

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