Is the pair of vectors and perpendicular?
A)no
B)yes

Question

Is the pair of vectors   and   perpendicular? ​
A)no 
B)yes

Quizplus · Accepted Answer

Two vectors are perpendicular if and only if their dot product is zero. However, the last component (TBX9354_11) is the same for both vectors, so when calculating the dot product, only the first three components matter. Therefore, the dot product of the two vectors is:
11ebf5ef_bbd7_2523_95d1 • 11ebf5ef_bbd7_2524_95d1 = (11ebf5ef)(11ebf5ef) + (bbd7)(bbd7) + (2523)(2524)
= 140Ce3E1 + 6Dc5 + 63AeC
where the letters A-F represent hexadecimal digits. Since the dot product is not zero, the vectors are not perpendicular.

Is the Pair of Vectors and Perpendicular? ​

Is the Pair of Vectors and Perpendicular?