Start learning →

Vectors $\vec a = \hat i - 2\hat j + 3\hat k$ and $\vec b = 3\hat i - 6\hat j + 9\hat k$ are:

APerpendicular
BEqual
CLinearly independent (non-collinear)
DLinearly dependent (collinear)
Answer & Solution
Correct answer: D. Linearly dependent (collinear)
$\vec b = 3\vec a$, so $\vec b$ is a scalar multiple of $\vec a$. They are linearly dependent, i.e. collinear.
Practise this question with Quill — GRE →

Keep practising Vector Algebra

Browse all Vector Algebra questions for GRE, or explore more Mathematics topics.

Start a Vector Algebra lesson →