a) AB in terms of a and b AB = b - a.
b = a + AB
AB = b - a.
Vector OC in forms of a and b
b) AC = 5/2 ( b - a)
As AB : BC = 2:3, AC = ( 3 + 2) / 2 = 5/2 AB
So AC = 5/2 ( b - a).
What is a vector?
vector, in mathematics, a quantity that has both magnitude and direction but not position. Examples of such quantities are velocity and acceleration. A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.
What is vector and scalar in maths?
Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction.
Vector formulas provide a list of formulas, helpful for conducting numerous arithmetic operations on the same vector, and between two vectors. Vectors have both a scalar and a vector component and these vector formulas help in performing the numerous operations on vectors in a systematic and easy manner.
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