Vector addition is:
ANon-commutative
BCommutative (a+b = b+a)
CAlways zero
DSometimes commutative
Answer & Solution
Correct answer: B. Commutative (a+b = b+a)
**Vector addition is commutative:** ā + b̄ = b̄ + ā.
(Also associative: (ā+b̄)+c̄ = ā+(b̄+c̄). But cross product is non-commutative.)
Keep practising Unit 9A: Parametric Equations and Plane Curves
Browse all Unit 9A: Parametric Equations and Plane Curves questions for GRE, or explore more Mathematics topics.
Related questions
The magnitude of the vector $\hat{i}+\hat{j}+\hat{k}$ is:For any vector $\vec a$, the dot product $\vec a\cdot\vec a$ equals:The value of $\hat{i}\times\hat{j}$ is:The dot product of $(2\hat{i}+3\hat{j}+\hat{k})$ and $(\hat{i}-\hat{j}+\hat{k})$ is:The unit vector in the direction of $3\hat{i} + 4\hat{j}$ is:Two non-zero vectors $\vec a$ and $\vec b$ are perpendicular if and only if:The magnitude of the cross product $|\vec{a}\times\vec{b}|$ equals:The value of $\hat{i}\cdot\hat{j}$ is: