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PRADEEP PUBLICATION-VECTORS-EXERCISE
- Find a unit vector parallel to the sum of the vector vec a= hat i+ hat...
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- Show that the points A,B and C whose position vectors are repectively ...
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- Find the unit vector in the direction of sum of vectors -2 hat i- 3 ha...
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- If vec AB= a underset 1 hat i+ a underset 2 hat j+ a underset hat k an...
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- Find a unit vector in the direction of vec a- 2 vec b+ 3 vec c if vec ...
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- Find the points of trisection of [PQ] if the position vectors of P and...
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- Show that the point A,B,C and D whose position vectors are respectivel...
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- The position vectors of the points A, B, C and D are respectively 4 ha...
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- Find the magnitude and components of the vector 2(-1,0,3) + 3(1,1,2)-(...
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- Prove that the points A (1,2,3), B(2,3,1) and C(3,1,2) are the vertice...
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- Prove that the points (1,1,1),(-2,4,1),(-1,5,5) and (2,2,5) taken in o...
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- If the points (-1,-1,2),(2,m,5) and (3,11,6) are collinear, find the v...
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- Using vectors, find the value of 'k' such that the points (k,-10,3),(1...
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- The sides of a parallelogram represent the vectors 2 hat i- 4 hat j+ 5...
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- Let vec a= 2 hat i- 2 hat j+ hat k, vec b= 2 hat i+ 3 hat j+ 6 hat k a...
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- Prove that the points whose position vectors are hat i - hat j+ hat k,...
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- Prove that the vectors vec a = hat i- 2 hat j+ hat k, vec b= -2 hat i+...
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- Show that the points (1,1,1),(2,-1,2),(-1,2,2) and (2,2,-1) are coplan...
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- Show that the points A(4,5,1), B(0,-1,-1), C(3,9,4) and D(-4,4,4) are ...
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- If vec a, vec b and vec c are non-coplanar (independent) vectors, prov...
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