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MODERN PUBLICATION-VECTORS-Exercise
- Let veca and vecb be two unit vectors and theta is the angle between t...
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- The value of : hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) i...
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- If theta is the angle between two vectors veca and vecb, then |veca*ve...
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- Using vectors, find the value of 'k' such that the points (k,-10,3),(1...
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- If A,B,C,D are the points with position vectors : hati+hatj-hatk,2hati...
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- Parallelogram on equal bases and between the same parallels are equal ...
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- Write all the unit vectors in XY-plane.
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- Write down a unit vector in XY-plane, making an angle of 30^o with the...
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- Find a vector of magnitude 5 units, and parallel to the resultant of t...
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- If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk, the...
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- If veca=2hati-hatj+hatk,vecb=hati+3hatj-hatk,vecc=-2hati+hatj-3hatk an...
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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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- The two adjacent sides of a parallelogram are given by the vectors 2ha...
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- The scalar product of the vector hati+hatj+hatk with a unit vector alo...
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- If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...
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- If veca,vecb,vecc are three non-coplanar vectors and vecd*veca=vecd*ve...
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- If vecc is normal to veca and vecb, show that vecc is normal to veca+v...
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- Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...
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- Find the area of the parallelogram having diagonals veca+vecb and vecb...
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- Prove that the quadrilateral obtained by joining mid-points of adjacen...
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