Vectors algebra

The resultant of P vector and Q vector is perpendicular to P vector what is the angle between P vector and Q vector Pls help me with the diagram
11 Replies
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@Apu
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Opt
Opt6d ago
$$\vec{p}\cdot(\vec{p}+\vec{q})=0$$ $$\lvert\vec{p}\rvert^{2}+\lvert\vec{p}\rvert\lvert\vec{q}\rvert cos\theta = 0$$ $$\implies cos\theta = -\frac{\lvert\vec{p}\rvert}{\lvert\vec{q}\rvert}$$
TeXit
TeXit6d ago
Opt
No description
Opt
Opt6d ago
Theta is the angle between p and q vectors. Of course, I assume p is not the zero vector Is this not showing q-p ?
SirLancelotDuLac
Oh right ;_; Place three vectors in a right angled triangle in a cyclic way and flip one of the two perpendicular vectors. The hypotenuse is q (say) and one of the perpendicular sides is p, while the remaining side is (p+q)
Opt
Opt6d ago
Something like this?
No description
Opt
Opt6d ago
I've transposed q parallel to itself so no change.
Captain Cool
Captain Cool5d ago
just assume p = i q = j - i diagram should be fairly easy with this assumption, but hmu if you want more help
Fie
FieOP5d ago
oh thx guys +solved @Opt @SirLancelotDuLac @Captain Cool
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