Show that the direction cosines of a vec...

Show that the direction cosines of a vector equally inclined to the axes OX, OY and OZ are `+-((1)/(sqrt(3)),(1)/(sqrt(3)),(1)/(sqrt(3)))`.

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KUMAR PRAKASHAN-VECTOR ALGEBRA -MISCELLANEOUS EXERCISE - 10

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+5hatk and ha...
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Show that the direction cosines of a vector equally inclined to the ax...
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Let vec(a)=hati+4hatj+2hatk,vec(b)=3hati-2hatj+7hatk and vec( c )=2hat...
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The scalar product of the vector hati+hatj+hatk with a unit vector alo...
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If vec(a),vec(b),vec( c ) are mutually perpendicular vectors of equal ...
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prove that (vec(a)+vec(b)).(vec(a)+vec(b))=|vec(a)|^(2)+|vec(b)|^(2), ...
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If theta is angle between two vectors vec(a) and vec(b) then vec(a).ve...
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Let vec(a) and vec(b) be two unit vectors and theta is the angle betwe...
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The value of hati.(hatj xx hatk)+hatj.(hati xx hatk)+hatk.(hati xx hat...
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If theta is the angle between any two vectors vecaandvecb, then |veca*...
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