If the vectors vec (a) = 2 hat (i) - ha...

If the vectors ` vec (a) = 2 hat (i) - hat (j) + hat (k) , vec ( b) = hat (i) + 2 hat (j) - 3 hat (k) and vec(c ) = 3 hat (i) + lambda hat (j) + 5 hat (k) ` are coplanar , find the value of `lambda`

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If vectors vec(a) = 3 hat(i) + hat(j) - 2 hat(k) and vec(b) = hat(i) + lambda(j) - 3 hat (k) are perpendicular to each other , find the value of lambda .

If vec(a) = 2 hat(i) + 3 hat (j) + 4 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - lambda hat(k) are perpendicular, then what is the value of lambda ?

If vec(a) = 2 hat(i) + 2 hat(j) + hat(k) , vec(b) = - hat(i) + hat(j) + 2 hat(k) and vec ( c) = 3 hat(i) + hat(j) such that vec(a) + lambda hat (b) is perpendicular to vec( c) , find lambda .

Find the value of lambda so that the vectors vec(a)=2hat(i)-3hat(j)+hat(k),vec(b)=hat(i)+2hat(j)-3hat(k) a nd vec(c)=hat(j)+lambda hat(k) are coplanar.

If vec(a) = hat(i) - hat(j) + hat(k). vec(b) = 2hat(i) + 3hat(j) + 2hat(k) and vec(c ) = hat(i) + m hat(j) + n hat(k) are three coplanar vectors and |vec(c )| = sqrt6 , then which one of the following is correct?

If vec(a) = hat(i) + hat(j) + 2 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - hat(k) , find the value of (vec(a) + 3 vec(b)) . ( 2 vec(a) - vec(b)) .

If vec(a)=hat(i)-hat(j)+hat(k), vec(b) = 2 hat(i) + 3 hat( j) + 2 hat(k) and vec(c) = hat(i) - m hat(j) + n hat(k) are three coplanar vectors and |vec(c)|=sqrt(6) , then which one of the following is correct?

If vec(a) = hat(i) + 2 hat(j) + 3 hat(k) and vec(b) = 2 hat(i) + 3 hat(j) + hat(k) , find a unit vector in the direction of ( 2 vec(a) + vec(b)) .

The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

Find the angle between the vectors : vec(a)=hat(i)+hat(j)-hat(k) " and " vec(b)=hat(i)-hat(j)+hat(k)

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