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PRADEEP PUBLICATION-VECTORS-EXERCISE
- Show that the vectors vec a= 10 hat i -12 hat j -4 hat k, vec b=-16 ha...
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- If vec a = hat i +2 hat j +hat k, vec b= 3 hat i +2 hat j- 7hat k and ...
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- Integrate the following int xe^(3x)dx
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- Find λ if vectors vec a = hat i +λ hat j +hat k, vec b= 2hat i -hat ...
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- Find the value of scalar λ if the vectors vec a =2 hat i +hat j +hat ...
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- Prove that the four points 4 hat i +5 hat j +hat k, -(hat j+hat k) ,3...
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- Integrate the following int (2x+6)dx/(x^2+6x+49)
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- Show that the four points having position vectors 6 hat i-7 hat j, 16 ...
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- Integrate the following int xlog3xdx
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- If vec a =3 hat i -hat j +hat k, vec b= hat i +3hat j - hat k and ve...
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- Integrate the following int dx/(x^2+10x+9)
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- If vec a,vec b,vec c are any three vectors, prove that vec a xx (vec b...
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- For any vector vec a, prove that hat i xx (vec a xx hat i)+ hat j xx (...
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- If a,b and c are three non-zero vectors such that a*(bxxc)=0 and b and...
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- Integrate the following int xcos5xdx
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- What is the magnitude of a unit vector ?
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- If vec a = x hat i +2 hat j - z hat k and vec b= 3 hat i- y hat j+hat ...
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- Does |quad vec a|= |quad vec b| imply vec a= vec b?
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- State whether the vectors hat i, hat j and hat k are coplanar or non-c...
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- Integrate the following int dx/(1-secx)
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