[" 14.Express the vector "a=5i-2j+5i" as sum of two vectors such that one is parallel to the vector "],[qquad quad b=3i+iquad " and other is perpendicular to "b" ."]

Express the vector vec a=5hat i-2hat j+5hat k as the sum of two vectors such that one is parallel to the vector vec b=3hat i+hat k and other is perpendicular to vec b .

Express the vector vec a=5 hat i-2 hat j+5 hat k as the sum of two vectors such that one is parallel to the vector vec b=3 hat i+ hat k and other is perpendicular to vec bdot

Express the vector vec a=5 hat i-2 hat j+5 hat k as the sum of two vectors such that one is parallel to the vector vec b=3 hat i+ hat k and other is perpendicular to vec bdot

Express the vector vec(a) = 5 hat (i) - 2 hat (j) + 5 hat (k) as sum of two vectors such that one is parallel to the vector vec(b) = 3 hat(i) + hat (k) and the other is perpendicular to vec(b)

Express the vector vec(a)=(6hat(i)-3hat(j)-6hat(k)) as sum of two vectors such that one is parallel to the vector vec(B)=(hat(i)+hat(j)+hat(k)) and the other is perpendicular to vec(b) .

The vector equation of the linepassing through the point i+j-k and parallel to the vector 2i+3j-k is