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Find the position vector of a point R wh...

Find the position vector of a point R which divides the line joining two points `P (2 vec a+ vecb) and Q (vec a-3 vec b)` externally in the ratio 1 : 2. Also, show that P is the middle point of the line segment RQ.

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Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are P(2veca + vecb) and Q(veca-3vecb) externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ.

Find the position vector of a point, which divides the join of the points with position vectors veca-2vecb and 2 veca + vecb externally in the ratio 2 : 1 .

Find the position vector of a point R which divides the line joining the points P(hati+2hatj-2hatk) and Q(hati+2hatj+2hatk) internally in the ratio 1:2.

Find the position vector of a point R which divides the line joining the points P(hati+2hatj-hatk ) and Q(hati+2hatj+2hatk) internally in the ratio 2:1.

The position vector of the point which divides the join of points 2 vec a -3 vec b and vec a+vec b in the ratio 3: 1 is

Find the position vector of the point which divides the join of the points (2veca - 3vecb) and (3veca - 2vecb) (i) internally and (ii) externally in the ratio 2 : 3 .

The position vector of the point which divides the join of points 2veca-3vecb and veca+vecb in the ratio 3:1 is

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If vec a= hat i+hat j+hat k , vec b = 2 hat i- hat j+3 hat k and vec c...

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

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

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

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

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  6. Let a=hat(i)+4hat(j)+2hat(k), b=3hat(i)-2hat(j)+7hat(k) and c=2hat(i)-...

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  7. The scalar product of the vectorhat i+hat j+ hatk with a unit vector a...

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  8. If vec a, vec b ,vec c are mutually perpendicular vectors of equal ma...

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  9. Prove that (vec a+vec b)* (vec a+ vec b)=|vec a|^2 +|vec b|^2, if and ...

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  10. If θ is the angle between two vectors vec a and vec b, then vec a*vec ...

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  11. Let vec a and vec b be two unit vectors and θ is the angle between the...

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  12. If (hat i, hat j, hat k) are the usual three perpendicular unit vector...

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  13. If theta is the angle between any two vectors vec(a) and vec(b), "then...

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  14. If vec a is a non-zero vector, then (1/|vec a|) vec a is a..........

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  15. If vec a, vecb are non-collinear vectors, then vec a, vecb and vec a +...

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  16. The vector veca+vecb bisects the angle between the non collinear vecto...

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  17. If vec r* vec a =0 = vec r* vec b ,where vec a and vec b are non-copla...

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  18. If vec r* vec a =0 = vec r* vec b =0 and also vec r* vec c =0 for som...

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  19. If vec a and vec b are any two vectors, then (vec a xx vec b)^2 +(vec ...

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  20. If vec a is any non-zero vector, then (vec a*hat i)hat i + (vec a*hat ...

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