CBSE Class 11-science Answered
what is dot product
Asked by Kattaithihaas | 24 Jul, 2022, 13:23: PM
Scalar product of two vectors is called as dot product because the symbol dot is used
for multiplication of vectors to get the result as scalar value.
Scalar product or dot product of vectors
and
is defined as
![begin mathsize 14px style A with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/639c73046741125cfeb2fc30eff22313.png)
![begin mathsize 14px style B with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/9543f24d51b195c4f40909021855c5c9.png)
![begin mathsize 14px style A with rightwards arrow on top space times space B with rightwards arrow on top space equals space open vertical bar A with rightwards arrow on top close vertical bar space open vertical bar B with rightwards arrow on top close vertical bar space cos theta end style](https://images.topperlearning.com/topper/tinymce/cache/12feb0a33ce0b2377939c433582580f9.png)
where |
| is magnitude of vector
, |
| is magnitude of vector
and θ is angle between two vectors
![begin mathsize 14px style A with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/639c73046741125cfeb2fc30eff22313.png)
![begin mathsize 14px style A with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/639c73046741125cfeb2fc30eff22313.png)
![begin mathsize 14px style B with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/9543f24d51b195c4f40909021855c5c9.png)
![begin mathsize 14px style B with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/9543f24d51b195c4f40909021855c5c9.png)
Answered by Thiyagarajan K | 24 Jul, 2022, 14:39: PM
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