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The scalar product of two perpendicular vectors is zero.
In classical mechanics we define the scalar product between two vector a and b as:
a · b = |a| |b| cos(alpha)
where |a| is the modulus of vector a and alpha is the angle between vectors a and b.
If two vectors are perpendicular, alpha equals 90º (or PI/2 rad) and cosine of alpha is, consequently, zero.
So finally a · b = 0.
Wiki User
∙ 14y ago
Wiki User
∙ 15y agoA vector: the scalar portion of the vector is multiplied with the scalar, but the direction is 'conserved' - it just changes the amount, not the direction.
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