Vectors

PlsHelp2604

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Jan 12, 2021
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a = (1) and b = (3)
........(4)...................(2)

(a) Write down as a column vector
(i) a+b

A translation by ( ? )
( ? )
 
column vector is like a column in excel add the two columns keeping the variable independent
is A 1,4 and B is 3,2?
if so it would look like this

1610465337953.png
 

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If \(\displaystyle u= \begin{bmatrix} a \\ b \end{bmatrix}\) and \(\displaystyle v= \begin{bmatrix} c \\ d \end{bmatrix}\) then \(\displaystyle u+ v= \begin{bmatrix} a \\ b \end{bmatrix}+ \begin{bmatrix} c \\ d \end{bmatrix}= \begin{bmatrix} a+ c \\ b+ d \end{bmatrix}\)

I don't know what "A translation by (?)" means. It might be asking you to think of translating a by b.
 
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