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PRADEEP PUBLICATION-VECTORS-EXERCISE
- If vec a= hat i+ 2hat j- 3 hat k and vec b= 3 hat i- hat j+ 2 hat k, s...
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- Find the projection (vector) of the vector 7 hat i+ hat j- 4 hat k on ...
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- Find the projection (vector) of the vector 7 hat i+ hat j- 4 hat k on ...
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- Find the projection of vec AB on vec PQ where P,Q,A,B are the points (...
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- If A,B,C,D are the points with position vectors hat i+ hat j-hat k, 2 ...
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- Find the projection of the vector vec a = 2 hat i+ 3 hat j+ 2 hat k on...
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- Find the projection of thevector hat i+ 3 hat j+ 7 hat k on the vector...
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- Prove that the vectors vec a= hat i- 3 hat j - 5 hat k , vec b= 2 hat ...
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- If A,B,C have position vectors (0,1,1),(3,1,5),(0,3,3) respectively, p...
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- Prove Cauchy- Schwarz inequality |quad vec a* vec b|<|quad vec a||quad...
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- For any two vectors vec a and vec b, prove that (vec a* vec b)^ 2 le |...
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- If |quad vec a|=1, |quad vec b|=1 and |quad vec a+ vec b|=1, prove tha...
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- If |quad vec a+ vec b|=|quad vec a- vec b|, prove that vec a and vec b...
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- If (vec a+ vec b)* (vec a- vec b)=0, show that |quad vec a|=|quad vec ...
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- If vec a and vec b are any two vectors, then prove that |quad vec a+ v...
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- Prove that two proper vectors vec a and vec b are the right angles iff...
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- If vec a,vec b,vec c are three non-coplanar vectors and vec d* vec a ...
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- Find a vector vec c such that vec c*(hat i+ hat j)= 2, vec c* (hat i- ...
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- Find a vector vec c such that vec c. hat i = vec c. hat j= vec c . hat...
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- If vec c is normal to vec a and vec b, show that vec cis normal to ve...
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