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CBSE Class 11-science Answered

What is meant by ' projection of a vector on b'? Is it related to components? What's the formula and derivation?
Asked by drhimasingh | 18 May, 2020, 03:51: PM
answered-by-expert Expert Answer
Vector projection of "a" on vector "b" qualitatively shows that how much vector a contibuting in the direction of vector b. The component of vector a in the direction of vector b is the projection of vector a on b.
Quantitatively it can be written as
A with rightwards arrow on top times B with rightwards arrow on top equals open vertical bar A close vertical bar open vertical bar B close vertical bar C o s theta
P r o j e c t i o n space o f space A with rightwards arrow on top space o n space B with rightwards arrow on top
open vertical bar A close vertical bar C o s theta equals fraction numerator A with rightwards arrow on top times B with rightwards arrow on top over denominator open vertical bar B close vertical bar end fraction
Answered by Utkarsh Lokhande | 18 May, 2020, 06:41: PM
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