[" 30.Let "vec alpha=hat i+2hat j-hat k,beta-2hat i=hat j+3k" and "Y=],[2hat i+hat j+6hat k" be three vectors.If "a" and "vec beta" are "],[" both perpendicular to the vector "delta" and "vec delta*vec y],[=10" ,then what is the magnitude of "vec delta" ? "]

Let vec(alpha)=hat(i) +2 hat(j) - hat(k), vec(beta) = 2 hat(i) - hat(j) + 3 hat(k) and vec(lambda)=2hat(i) + hat(j) + 6 hat(k) be three vectors. If vec(alpha) and vec(beta) are both perpendicular to the vector vec(delta) and vec(delta).vec(lambda)=10 , then what is the magnitude of vec(delta) ?

If vec a=hat i+2 hat j+hat k and vec b=2 hat i+hat j and vec c=3 hat i-4 hat j-5 hat k , then find a unit vector perpendicular to both of the vectors vec a-vec b and vec c-vec b .

If vec a=hat i+2hat j+hat k,vec b=2hat i+hat j and vec c=3hat i-4hat j-5hat k then find a unit vector perpendicular to both of the vector (vec a-vec b) and (vec c-vec b)

If vec a=2hat i+hat j-3hat k and vec beta=hat i-2hat j+hat k find a vector of magnitudefind a vector of magnitude 5 perpendicular to both vec alpha and vec beta

If vec a= hat i+hat j- hat k, vec b= -hat i+2 hat j+ hat k and vec c = - hat i+2 hat j- hatk , then show that the unit vector perpendicular to vec a+ vec b and vec b+ vec c is hat k .

The lines vec r=(hat i+hat j+hat k)alpha+3hat k and vec r=(hat i-2hat j+hat k)beta+3hat k

Vectors vec A=hat i+hat j-2hat k and vec B=3hat i+3hat j-6hat k are

vec a=hat i+hat j+hat k,vec b=2hat i-hat j+3hat k and vec c=hat i-2hat j+hat k find a unit vector in a direction parallel to vector (2vec a-vec b+3vec c)

vec a=hat i+hat j+hat k,vec b=hat i-hat j+hat k and vec c=hat i-hat j-hat k' be three vectors.A vector vec v in the plane of vec a and vec b. whose projection on vecc is (1)/(sqrt(3)), is given by

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 c