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Find the vector joining the points P(2, ...

Find the vector joining the points P(2, 3, 0) and Q(-1, -2, -4) directed from P to Q

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Find the direction cosines of the vector joining the points A(1, 2,3) and B(-1, -2, 1) directed from A to B.

Find the direction cosines of the vector joining the points A (1,2,-3) and B(-1,-2,1) directed from A to B.

Find the direction cosines of the vector joining the points A(-1, 2, 3) and B(1, 4, 1), directed from A to B.

Find the direction cosines of the vector joining the points A(1,2,−3) and B(−1,−2,3) directed from A to B .

Find the position vector of the midpoint of the vector joining the points P(2, 3, 4) and Q(4, 1 -2)

Find the position vector of the mid point of the vector joining the points P(2,3,4) and Q(4,1,-2).

A point R with x-coordinate 4 lies on the line segment joining the points P(2,-3,4) and Q(8,0,10) . Find the coordinates of the point R.

Find the direction cosines of the vector joining the points (0, 5, 3) and (1, 7,2).

i. Find the coordinates of the point which trisect the line segment joining the points P(4,0,1) and Q(2,4,0) . (ii) Find the locus of the set of points P such that the distance from A(2,3,4) is equal to twice the distance from B(-2,1,2) .

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)) .

NCERT TAMIL-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. Find the vector joining the points P(2, 3, 0) and Q(-1, -2, -4) direct...

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  2. Write down a unit vector in XY - plane making an angle of 30^(@) with ...

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  3. Find the scalar components and magnitude of the vector joining the poi...

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

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  5. If veca = vec b+ vec c, then is it true that |veca| = |vec b| + |vec ...

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

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

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  8. If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatkandvecc=hati-2hatj+hatk, ...

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

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

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

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

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  13. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatkandvecc=2hati-hatj+4ha...

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  14. Thescalar product of the vector hat i + hat j + hat k with a unit vect...

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  15. If veca,vecb,vecc are mutually perpendicular vectors of equal magnitu...

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

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  17. If theta is the angle between two vectors vecaandvecb then veca*vecbge...

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  18. Let vecaandvecb be two unit vectors and theta is the angle between the...

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  19. The value of hati.(hatjxxhatk)+hatj.(hatkxxhati)+hatk.(hatjxxhati) ...

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  20. If theta is the angle between any two vectors vec a and vec b , then |...

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