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Vector Arithmetic | Mathematics for Grade 10 PDF Download

Multiplying Vectors by a Scalar


Vectors can be multiplied by a scalar which changes the size of the vector but not the direction.
Vector Arithmetic | Mathematics for Grade 10
The vector 2k is twice as long as the vector k. Double each number in  to get 2k.
Vector Arithmetic | Mathematics for Grade 10
Vector Arithmetic | Mathematics for Grade 10Vector Arithmetic | Mathematics for Grade 10
The vector 1/2 m is half as long as the vector m. Halve each number in m to get 1/2 m.
Vector Arithmetic | Mathematics for Grade 10
Vector Arithmetic | Mathematics for Grade 10

Adding Vectors


Vectors can be added by drawing the first vector, then starting the second vector where the first vector ends.
Vector Arithmetic | Mathematics for Grade 10Vector Arithmetic | Mathematics for Grade 10
The single vector they create Vector Arithmetic | Mathematics for Grade 10 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.
Vector Arithmetic | Mathematics for Grade 10Vector Arithmetic | Mathematics for Grade 10
Since the vector Vector Arithmetic | Mathematics for Grade 10 has the same magnitude but opposite direction to the vector Vector Arithmetic | Mathematics for Grade 10
Vector Arithmetic | Mathematics for Grade 10

Example: Write, in terms of a and b, the vector Vector Arithmetic | Mathematics for Grade 10
Vector Arithmetic | Mathematics for Grade 10Vector Arithmetic | Mathematics for Grade 10

The document Vector Arithmetic | Mathematics for Grade 10 is a part of the Grade 10 Course Mathematics for Grade 10.
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