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PRADEEP PUBLICATION-VECTORS-EXERCISE
- 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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- What is the cosine of the angle which the vector sqrt2 hat i+ hat j +h...
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- Find p if the vectors 2 hat i +3 hat j + 6 hat k and p hat i+2 hat j-...
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- Find λ if the vector λ (hat i+ hat j+ hat k) is a unit vector.
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- If vec a and vec b are non-zero vectors and the angle θ between them i...
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- Write a vector of magnitude 9 units in the direction vector -2hat(i)+h...
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- If θ is the angle between two non-zero vectors vec a and vec b , then ...
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