Given vector upsilon 2i 8j which of the following is a vec

Given vector upsilon = 2i + 8j, which of the following is a vector that is orthogonal to upsilon? a) 16i + 2j b) 8i - 2j c) - 2i - 8j d) -2i + 8j e) -16i + 4j f) None of the above.

Solution

given vector is v = 2i + 8j

To find the vector u (say) that is orthogonal to v is

u.v = 0 ======> (-16i + 4j).(2i + 8j) = -32 + 32 = 0

Hence option e) is correct.