Consider two points P and Q with positio...

Consider two points P and Q with position vectors `vec(OP)=3veca-2vecbandvec(OQ)=veca+vecb`. Find the position vector of a point R which divides the line joining P and Q in the ratio `2:1` , (i) intermally , and (ii) externally.

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NCERT BANGLISH-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10

Consider two points P and Q with position vectors vec(OP)=3veca-2vecba...
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Write down a unit vector in XY-plane, making an angle of 30^(@) with t...
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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|? Justify...
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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 th...
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If veca=hati+hatj+hatk,vecb=2hatj-hatj+3hatkandvecc=hati-2hatj+hatk, ...
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Show that the points A(1,-2,-8),B(5,0,-2)andC(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 2hati-4hatj+5kandhati-2h...
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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+7hatkandvecc=2hati-hatj+4ha...
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The scalar product of the vector hati+hatj+hatk with a unit vector alo...
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If with reference to the right handed system of mutually perpendicular...
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Prove that (veca+vecb)*(veca+vecb)=|veca|^(2)+|vecb|^(2), if and only...
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If theta is the angle between two vectors vecaandvecb then veca*vecbge...
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Let vecaandvecb be two unit vectors and theta is the angle between the...
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The value of hati*(hatk xx hatj) + hatj*(hati xx hatk)+hatk*(hatj xx h...
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If theta is the angle between any two vectors vecaandvecb, then |veca*...
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