Grade 12Wave Motion
what is scalar product
2 Answers
ruchi yadav
The dot product or scalar product of two
vectorsa= [a1,a2, ...,an]andb= [b1,b2, ...,bn]is defined as:
where S denotessummation notationandnis the dimension of the vector space. For instance, inthree-dimensional space, the dot product of vectors[1, 3, -5]and[4, -2, -1]is:
![\begin{align}
\ [1, 3, -5] \cdot [4, -2, -1] &= (1)(4) + (3)(-2) + (-5)(-1) \\
&= 4 - 6 + 5 \\
&= 3.
\end{align}](http://upload.wikimedia.org/math/1/3/1/131c946a85f1e689a920763c11f89d5a.png)
- Thank You
- Ruchi
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Indu
Approved Tutor Answer12 Years agoThe numerical product of the lengths of two vectors and the cosine of the angle between them.
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