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vladimir2022 [97]
3 years ago
12

Does anyone know this?

ula1" title=" - 6 \times + 3 \geqslant 21" alt=" - 6 \times + 3 \geqslant 21" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
ddd [48]3 years ago
7 0
I think it is because if you divide by a negative you which the sign ?

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We have been given that:

Vector \vec{a}=4\hat i-2\hat j and \vec{b}=-3\hat i+5\hat j.

Component form of a vector implies to write the vector with each individual components.

Now, our vector \vec e is given by

\vec e =2\vec a+3\vec b

Now, 2 \vec a=2(4\hat i- 2 \hat j)=8 \hat i -4 \hat j

and 3 \vec b= 3(-3 \hat i +5\hat j)=-9 \hat i + 15\hat j

Plugging the values  of 2 \vec a and 3\vec b, we get:

\vec e = 8 \hat i-4 \hat j-9 \hat i + 15 \hat j=- \hat i+11 \hat j

So, the vector 'e' in its component form is given as:

\vec e= -\hat i+11\hat j

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Answer:

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