Two vectors a and b are parallel to each other if and only if a = k b, where 'k' is a scalar. Here, a and b are in the directions if k > 0 and are in opposite directions if k < 0.

Jul 23, 2025 · Parallel vectors are considered one of the most important concepts in vector algebra. When two vectors have the same or opposite direction, they are said to be parallel to each other. …

Oct 7, 2025 · Determine if the vectors u → = 2, 1 and v → = 3, 6 are parallel to each other, perpendicular to each other, or neither parallel nor perpendicular to each other.

In this section, we will discuss examples related to parallel vectors and their step-by-stop solutions. This will help to build a deeper understanding of parallel vectors.

Two vectors are parallel if they point in exactly the same direction or exactly opposite directions. Mathematically, vectors a and b are parallel if one is a scalar multiple of the other: a = k × b where k …

Vectors are parallel if they have the same direction or opposite direction. Two non-zero vectors, u and v, are parallel if and only if one is a scalar multiple of the other.

Nov 24, 2025 · Learn about parallel vectors and other skills needed for vector proof for your GCSE maths exam. This revision note includes the key points and worked examples.

Parallel vectors have equal magnitudes and pointing in the same direction. You can use parallel vectors to solve problems involving displacement, velocity, and acceleration.

In the diagram below, points A, B and C are on the same line (they are said to be collinear). Vector `vec (AB) = kvec (AC)`, where k is a scalar. Show that points A at (3, 5), B at (7, 11) and C at (13, 20) are …

Dec 7, 2025 · Two vectors are parallel if they are scalar multiples of one another. In the diagram below, vectors ⃑ 𝑎, ⃑ 𝑏, and ⃑ 𝑐 are all parallel to vector ⃑ 𝑢 and parallel to each other.