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Mathematics 12 Online
Liam:

Any help is HIGHLY appreciated. When opposite vectors are added: a) The Resultant is twice the original vector b) The Resultant is a vector perpendicular to the vectors c) The Resultant is the zero vector d) None of the above I chose A, am I correct?

Hero:

@Liam, what are opposite vectors? Do you know how to express an example of them here?

Liam:

Opposite vectors are two vectors with same magnitude but opposite direction.

Hero:

Yes, but how would you express for example in mathematical form a vector and its opposite?

Liam:

So vector A and vector -A are opposite. |dw:1525904534797:dw| ^Assuming those are the same size

Hero:

Okay, so as an example you have \(\large\vec{a}\) and \(-\large{\vec{a}}\) and then you add them together. What do you think will be the result of \(\large\vec{a} + (-\large{\vec{a}})\) ?

Hero:

Consider, for example what happens when you add \(5 + (-5)\)

Liam:

Becomes 0

Hero:

Yes correct.

Liam:

Oh so the resultant is the zero vector

Hero:

Exactly

Liam:

Tysm!! Can you help me on a few more?

Hero:

IDK, I'm quite busy with a few projects TBH

Liam:

Okay then (:

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