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NCERT-VECTOR ALGEBRA-MISCELLANEOUS EXERCISE
- If theta is the angle between any two vectors veca and vec b, then...
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- The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hat k...
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- Show that the direction cosines of a vector equally inclined to the a...
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- Write down a unit vector in XY-plane, making an angle of 30° with the...
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- A girl walks 4 km towards west, then she walks 3 km in a direction 30...
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- Find the scalar components and magnitude of the vector joining the po...
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- Find the value of x for which x( hat i+ hat j+ hat k)is a unit vector...
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- Let vec a= hat i+4 hat j+2 hat k , vec b=3 hat i-2 hat j+7 hat kand ...
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- The scalar product of the vector hat i+ hat j+ hat kwith a unit vect...
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- If theta is the angle between two vectors veca and vecb, then veca...
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- Let -> aand -> bbe two unit vectors and is the angle between them...
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- If veca , vecb , veccare mutually perpendicular vectors of equal ma...
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- Prove that (veca+ vecb)*( veca+ vecb)=|veca|^2+| vecb|^2, if and only ...
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- The value of hat i . ( hat jxx hat k)+ hat j . ( hat i times hat k)+...
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- State True or False: If vec a= vecb + vec c then |veca |= |vec b| ...
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- Find the position vector of a point R which divides the line joining ...
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- If veca= hat i+ hat j+ hat k, vecb=2 hat i- hat j+3 hat k and vecc...
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- Find a vector of magnitude 5 units, and parallel to the resultant of ...
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- Show that the points A(1,2,8) , B(5,0,2) and C(11,3,7)are collinear, ...
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