Grade 10 Exam  >  Grade 10 Notes  >  Mathematics  >  Vector Arithmetic

Vector Arithmetic

Multiplying Vectors by a Scalar


Vectors can be multiplied by a scalar which changes the size of the vector but not the direction.
Multiplying Vectors by a Scalar
The vector 2k is twice as long as the vector k. Double each number in  to get 2k.
Multiplying Vectors by a Scalar
Multiplying Vectors by a ScalarMultiplying Vectors by a Scalar
The vector 1/2 m is half as long as the vector m. Halve each number in m to get 1/2 m.
Multiplying Vectors by a Scalar
Multiplying Vectors by a Scalar

Adding Vectors


Vectors can be added by drawing the first vector, then starting the second vector where the first vector ends.
Adding VectorsAdding Vectors
The single vector they create Adding Vectors is the resultant vector.
Travelling from X to Y, then from Y to Z, is the same as travelling from X to Z.

Subtracting Vectors


Subtracting a vector is the same as adding a negative vector.
Subtracting VectorsSubtracting Vectors
Since the vector Subtracting Vectors has the same magnitude but opposite direction to the vector Subtracting Vectors
Subtracting Vectors

Example: Write, in terms of a and b, the vector Subtracting Vectors
Subtracting VectorsSubtracting Vectors

The document Vector Arithmetic is a part of the Grade 10 Course Mathematics for Grade 10.
All you need of Grade 10 at this link: Grade 10
Explore Courses for Grade 10 exam
Get EduRev Notes directly in your Google search
Related Searches
Free, practice quizzes, ppt, Viva Questions, Vector Arithmetic, Exam, mock tests for examination, Objective type Questions, Previous Year Questions with Solutions, past year papers, MCQs, pdf , shortcuts and tricks, Summary, Vector Arithmetic, study material, video lectures, Extra Questions, Vector Arithmetic, Sample Paper, Semester Notes, Important questions;