If `i,j,k` is an orthonormal system of vectors, a is a vector and `axxi + 2a -5j =0` then `a=`

If vec(i), vec(j), vec(k) is an orthonomal system of vectors, vec(a) is a vector and vec(a) xx vec(i) + 2vec(a)- 5vec(j)=vec(0) then vec(a) =

If hat i,hat j,hat k be unit orthonormal vectors and vec a be any vector,also vec a xxvec r=hat j, then vec a*vec r is equal to

If vec(i), vec(j), vec(k) are unit orthonormal vectors and vec(a) is a vector of magnitude 2 units satisfying vec(a) xx vec(i)= vec(j) , then vec(a).vec(i) =

A unit vector parallel to the sum of the vectors 2 i + 3j -k and 4i + 2j + k is

The magnitude of the vector product of the vector hat i+hat j+hat k with a unit vector along the sum of vectors 2hat i+4hat j-5hat k and lambda i+2hat j+3hat k is equal to sqrt(2). Find the value of lambda_(.)

The magnitude of the vector product of the vector hat i+ hat j+ hat k with a unit vector along the sum of vectors 2 hat i+4 hat j-\ 5 hat k and lambda hat i+2 hat j+3 hat k is equal to sqrt(2) . Find the value of lambda .