If ` vec p=5 hat i+lambda hat j-3 hat k\ a n d\ vec q= hat i+3 hat j-5 hat k ,` then find the value of `lambda` such that ` vec p+ vec q` and ` vec p- vec q` are perpendicular vectors.

If vec a=widehat a=hat i-hat j+7hat k and vec b=5hat j-hat j+lambdahat k, then find the value of lambda so that vec a+vec b and vec a-vec b are perpendicular vectors.

If vec a=hat i+lambdahat j+hat k and vec b=hat i+hat j+hat k and |vec a+vec b|=|vec a|+|vec b| then the value of lambda is

If vec A = hat i + 3 hat j + 2 hat K and vec B = 3 hat i + hat j + 2 hat k , then find the vector product vec A xx vec B .

If vec a=hat i+lambdahat j+hat k and vec b=hat i+hat j+hat k and |vec a+vec b|=|vec a|+|vec b| , then the value of lambda is

If vec A =4 hat I + 6 hat j -3 hat k and vec B =- 2 hat I -5 hat j + 7 hat k , find the angle between vec A and vec B .

If vec(a)=3hat(i)+hat(j)+9hat(k) and vec(b)=hat(i)+lambda hat(j)+3hat(k) , then find the value of 'lambda' for which the vectors (vec(a)+vec(b)) and (vec(a)-vec(b)) are perpendicular to each other.

If vec a= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot

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)) .

vec a=2hat i-hat j+hat k,vec b=hat i+hat j-2hat k and vec c=hat i+3hat j-hat k,f in d lambda such that vec a is perpendicular to lambdavec b+vec c

If vec(a) = 5 hat(i) - hat(j) - 3 hat(k) and vec(b) = hat(i) + 3 hat(j) - 5 hat(k) , find the angle between vec(a) and vec(b) .