" 20.If "(1)/(37)+2bar(i)+8i" and "2bar(i)+xj+k" are at right angles then "x=

For what values of lambda the vectors bar(i) - lambda bar(j) + 2bar(k), 8bar(i) + 6bar(j) - bar(k) are at right angles.

If bar(a) = 2bar(i) + 2bar(j) - 3bar(k), bar(b) = 3bar(i) - bar(j) + 2bar(k) then find the angle between 2bar(a)+bar(b) and bar(a) + 2bar(b) .

Let bar(a) = 2bar(i)-bar(j)+bar(k), bar(b) = 3bar(i) + 4bar(j) -bar(k) and if theta is the angle between bar(a), bar(b) then find sin theta .

Show that the points A(2bar(i)-bar(j)+bar(k)), B(bar(i)-3bar(j)-5bar(k)), C(3bar(i)-4bar(j)-4bar(k)) are the vertices of a right angled triangle.

If 2bar(i)-bar(j)+bar(k), bar(i)-3bar(j)-5bar(k), 3bar(i)-4bar(j)-4bar(k) are the vertices of a triangle then the vector equation of the median passing through 2bar(i)-bar(j)+bar(k) is

If bar(a) = 6bar(i) + 2bar(j) + 3bar(k) and bar(b) = 2bar(i) - 9bar(j) + 6bar(k) , then find bar(a).bar(b) amd the angle between bar(a) and bar(b) .

bar(a)=2bar(i)-3bar(j)+2bar(k) and bar(b)=2bar(i)+3bar(j)+bar(k) are the sides of triangle OAB. Then its area is …… seq. unit.

If A(bar(i)+2bar(j)+3bar(k)), B(-bar(i)-bar(j)+8bar(k)), C(-4bar(i)+4bar(j)+6bar(k)) are the vertices of a triangle then the equation of the line passing through the circumcentre and parallel to bar(AB) is

If bar(a) = 2bar(i) - 3bar(j) + bar(k) and bar(b) = bar(i) + 4bar(j) -2bar(k) , then find (bar(a) + bar(b))xx(bar(a)-bar(b))

If bar(a) = bar(i) - 2bar(j) - 3bar(k), bar(b) = 3bar(i) -bar(j)+2bar(k) then S.T bar(a)+bar(b).bar(a)-bar(b) are perpendicular.