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junior college 1 | H2 Maths
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Priya
Priya

junior college 1 chevron_right H2 Maths chevron_right Singapore

Hi I need help in Qn5b. Thank you.

Date Posted: 2 years ago
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
Maybe this?

For the geometrical proof, it’s probably something like this.

Projection vector of u onto v simply means a vector, in the direction of v, which has a certain length to be determined.

(Though in this case, v is not a unit vector in the direction of v - the projection formula vector specifically requires v-cap as part of the formula - but the arguments below still hold anyway; we will eventually prove that |v| is 1 later on somehow)

In this particular case, the projection vector of u onto v (which is supposed to be a vector in the direction of v)…

…happens to be u itself. This goes to show that u and v must be parallel vectors themselves.
Eric Nicholas K
Eric Nicholas K
2 years ago
Sorry, ignore the part after "|v| = 1".

(i.e. ignore the last part from "since |v| = 1"...)

Those are irrelevant to the working required.