Unit Vector

A unit vector is a vector with magnitude exactly one, used to indicate direction. Any non-zero vector $\mathbf{a}$ has a unit vector $\hat{\mathbf{a}}=\frac{\mathbf{a}}{|\mathbf{a}|}$ in the same direction.

In the plane, $\mathbf{i}$ and $\mathbf{j}$ are the unit vectors along the axes.

You meet Unit Vector in the Vectors chapter of SPM Additional Mathematics. Knowing the term precisely matters in the exam: questions often hinge on reading a keyword correctly, and because SPM marking is analytic, using the right definition in your working helps secure method marks.

Our teachers make sure a student can not only recite what Unit Vector means but use it fluently in a full solution.

Because the SPM Add Math paper is bilingual (BM/EN), it helps to know this term in each language: Unit Vector (EN) · Vektor Unit (BM) · 单位向量 (中文)

Other key terms from the Vectors chapter you may want to check:

• Scalar
• Vector
• Magnitude of a Vector
• Resultant Vector
• Parallel Vectors
• Position Vector