A sum of scalar multiple of two or more vectors (such as c_{1} u + c_{2} v + c_{3} w, where c_{i} are scalars) is called a linear combination of the vectors. Express \langle 4, -8 \rangle as a linear combination of i and j

beljuA

beljuA

Answered question

2021-08-08

A sum of scalar multiple of two or more vectors (such as c1u+c2v+c3w, where ci are scalars) is called a linear combination of the vectors. Let i=1,0,j=0,1,u=1,1, and v=1,1.
Express 4,8 as a linear combination of i and j (that is, find scalars c1 and c2 such that 4,8=c1i+c2j).

Answer & Explanation

Cristiano Sears

Cristiano Sears

Skilled2021-08-09Added 96 answers

Step 1
Given
i=1,0 and j=0,1
Step 2
4,8=4i8j
so c1=4 and c2=8

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