If `p=bar(i)+abar(j)+bar(k)` and `q-bar(i)+bar(j)+bar(k)` then `|bar(p)+bar(q)|=|bar(p)|+|bar(q)|` is true for

If bar(a)=bar(i)+2bar(j)+bar(k) , (b)=bar(i)-bar(j)+bar(k) and bar(c)=bar(i)+bar(j)-bar(k) . A vector in the plane of bar(a) and bar(b) whose projection on bar(c) is (1)/(sqrt(3)) 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

bar (a) = 2bar (i) + 3bar (j) -bar (k), bar (b) = bar (i) + 2bar (j) -4bar (k), bar (c) = bar (i) + bar (j) + bar (k), bar (d) = bar (i) -bar (j) -bar (k) then

The distance between the line bar(r)=2bar(i)-2bar(j)+3bar(k)+lambda((bar(i)-bar(j)+4bar(k)) and the plane bar(r).(bar(i)+5bar(j)+bar(k))=5 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 bar(p)=bar(a)+bar(b),bar(q)=bar(a)-bar(b),|bar(a)|=|bar(b)|=r , then |bar(p)timesbar(q)| =

The vectors bar(i)+4bar(j)+6bar(k),2bar(i)+4bar(j)+3bar(k) and bar(i)+2bar(j)+3bar(k) form

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 bar(a)=2bar(i)-bar(j)-bar(k),bar(b)=bar(i)+2bar(j)-3bar(k) and bar(c)=3mp mubar(j)+5bar(k) are coplanar then mu root of the equation

If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k) then find bar(a)timesbar(b) and unit vector perpendicular to both bar(a) and bar(b) .