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MODERN PUBLICATION-VECTORS-Exercise
- If either veca = vec0or vecb = vec0 then vecaxxvecb= vec0. Is the con...
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- Find the area of the triangle with vertices A(1,12), B(2,3,5), C(1,5,5...
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- Determine the area of a parallelogram whose adjacent sides are represe...
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- Let the vectors veca and vecb be such that |veca| = 3 and |vecb| = sqr...
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- Area of a rectangle having vertices A, B, C and D with position vector...
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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 the scalar components and magnitude of the vector joining the poi...
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- A girl walks 4 km towards west, then she walks 3 km in a direction 30^...
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- If veca = vecb + vecc, then is it true that |veca| = |vecb| + |vecc|?...
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- Find the value of x for which x(hati + hatj + hatk) is a unit vector.
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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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- Show that the points A(1,-2,-8), B(5,0,-2) and C(11,3,7) are collinear...
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- Find the position vector of a point R which divides the line joining t...
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- The two adjacent sides of a parallelogram are given by the vectors 2ha...
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- Show that the direction cosines of a vector equally inclined to the ax...
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- Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...
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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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- Prove that (veca+vecb) cdot (veca+vecb) = |veca|^2 + |vecb|^2, if and ...
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