Q. if `(bar e=l bar i+m bar j+n bar k)` is a unit vector ,the maximum value of `(lm+mn+nl)` is

If bar(e)=lbar(i)+mbar(j)+nbar(k) is a unit vector then maximum value of 'lm+mn+nl' is

Let bar a = 2 bari + 4 bar j - 5 bark, bar b= bar i + bar j + bar k and bar c = bar j + 2 bar k . Find the unit vector in the opposite direction of bar a + bar b + bar c .

Let bar(a) = 2bar(i) +4bar(j)-5bar(k), bar(b) = bar(i)+bar(j)+bar(k), bar(c ) = bar(j)+2bar(k) . Find the unit vector in the opposite direction of a + b + c

Let bar(a) be a unit vector bar(b)=2bar(i)+bar(j)-bar(k) and bar(c)=bar(i)+3bar(k) then maximum value of [[bar(a),bar(b),bar(c)]] is

Let bar(a) be a unit vector bar(b)=2bar(i)+bar(j)-bar(k) and bar(c)=bar(i)+3bar(k) then maximum value of [bar(a)bar(b)bar(c)] is

If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3bar(j)+8bar(k) then the unit vector in the direction of vec(AB) is

The orthogonal projection of bar(a)=2bar(i)+3bar(j)+3bar(k) on bar(b)=bar(i)-2bar(j)+bar(k) (where bar(i)*bar(j)*bar(k) are unit vectors along there mutually perpendicular directions is