[" 7.Given "vec A=A cos thetahat i+A sin thetahat j,quad A],[" vector "vec B," which is perpendicular to "vec A,],[" is given by "]

Given: vec(A)=Acos theta hat(i)+Asin theta hat(j) . A vector vec(B) , which is perpendicular to vec(A) ,is given by

Let vec(A)=hat(i)A cos theta+hat(j)A sin theta , be any vector. Another vector vec(B) which is normal to vec(A) is :-

Let vec(A)=hat(i)A cos theta+hat(j)A sin theta , be any vector. Another vector vec(B) which is normal to vec(A) is :-

Let vec(A)=hat(i)A cos theta+hat(j)A sin theta , be any vector. Another vector vec(B) which is normal to vec(A) is :-

If vec a and vec b are two vectors such that |vec a+vec b|=|vec a|, then prove that vector 2vec a+vec b is perpendicular to vector vec b

Given vec a = 4 hat i - hat j + 3 hat k and vec b = -2 hat i + hat j - 2 hat k . (i) Find a unit vector perpendicular to both vec a and vec b . (ii) Find a vector of magnitude 9 which is perpendicular to both vec a and vec b .

Given vec a=4hat i+5hat j-hat k,vec b=hat i-4hat j+5hat k. If |vec c|=21 and vec c is perpendicular to vec a and vec b, find in component form the vector vec c.

If vec a = -i +j +k, vec b = i-j+k , then a unit vector perpendicular to vec a and vec b is

If vec a = 2i+j+k, vec b = i + 2j-k and a unit vector vec c be coplanar. If vec c is perpendicular to a vec a then vec c =