If `|bar(u)| = sqrt(3) and bar(u)` is equally inclined to co - ordinate axes, then vector `bar(u)` =

If |bar r|=9 and bar r is equally inclined to the co-ordinate axes, then bar r=

If bar(a),b&bar(c) are three vectors such that, |bar(a)|=3,|bar(b)|=4&|bar(c)|=sqrt(24) and sum of any two vectors is orthogonal to the third vector, then |bar(a)+bar(b)+bar(c)| is equal to

If |bar(u)|=2 and bar(u) makes angles of 60^(@) and 120^(@) with OX and OY respectively , then vector bar(u)=

If bar(a) , bar(b) and bar(a)-sqrt2bar(b) are unit vectors, then what is the angle between bar(a), bar(b) ?

If |vec a|=2,|vec b|=sqrt(3) and (bar(a),bar(b))=30^(@) then the angle between the vectors bar(b) and bar(a)-bar(b) is

If alpha, beta and gamma be the angle made by the vector 3bar(i)-6bar(j)+2bar(k) with the positive direction of the coordinate axes, then find cos alpha, cos beta, cos gamma .

Suppose bar(a), bar(b), bar(c) be three unit vectors such that |bar(a)-bar(b)|^(2)+|bar(b)-bar(c)|^(2)+|bar(c)-bar(a)|^(2) is equal to 3 . If bar(a), bar(b), bar(c) are equally inclined to each other at an angle:

Let bar(a),bar(b) and bar(c) be three non-zero vectors,no two of which are collinear.If the vectors bar(a)+2bar(b) is collinear with bar(c) and bar(b)+3bar(c) is collinear with bar(a), then bar(a)+2bar(b)+6bar(c) is equal to