How to find a component of vector in the direction of vector?

Asked by AAKAASH PRAVINBABU | 27th Aug, 2015, 11:05: AM

Expert Answer:

Suppose the two vectors are begin mathsize 14px style straight A with rightwards harpoon with barb upwards on top end style and begin mathsize 14px style straight B with rightwards harpoon with barb upwards on top end style.
 
If we are to find component of begin mathsize 14px style straight A with rightwards harpoon with barb upwards on top end style along begin mathsize 14px style straight B with rightwards harpoon with barb upwards on top end style, then we will use the formula:
begin mathsize 14px style fraction numerator straight A with rightwards harpoon with barb upwards on top times straight B with rightwards harpoon with barb upwards on top over denominator open vertical bar straight B with rightwards harpoon with barb upwards on top close vertical bar end fraction end style
 
Similarly, if we are to find component of begin mathsize 14px style straight B with rightwards harpoon with barb upwards on top end style along begin mathsize 14px style straight A with rightwards harpoon with barb upwards on top end style, then we will use the formula:
begin mathsize 14px style fraction numerator straight A with rightwards harpoon with barb upwards on top times straight B with rightwards harpoon with barb upwards on top over denominator open vertical bar straight A with rightwards harpoon with barb upwards on top close vertical bar end fraction end style
 

Answered by Romal Bhansali | 27th Aug, 2015, 07:02: PM