how will you get the difference of two vectors?

Asked by aashu.60 | 22nd Jul, 2015, 11:39: AM

Expert Answer:

 
 
begin mathsize 14px style Vector space difference colon space The space vector space difference space of space two space vectors space say comma space straight A with rightwards arrow on top space and space straight B with rightwards arrow on top space is space equivalent space to space find space the space resultant space vector comma space say space straight C with rightwards arrow on top space which space will space satisfy space the space equation space straight C with rightwards arrow on top space equals space straight A with rightwards arrow on top space minus stack space straight B with rightwards arrow on top space or space straight C with rightwards arrow on top space plus space straight B with rightwards arrow on top space equals space straight A with rightwards arrow on top. space To space subract space stack straight B space with rightwards arrow on top space from space straight A with rightwards arrow on top colon space First space reverse space the space straight B with rightwards arrow on top space to space get space minus stack straight B space with rightwards arrow on top. To space add space bold B with bold rightwards arrow on top space to comma space we space have space draw space vector space minus straight B with rightwards arrow on top space from space the space arrow space head space of space vector space straight A with rightwards arrow on top space and space then space the space resultant space vector space straight C with rightwards arrow on top space from the space initial space point space of space straight A with rightwards arrow on top space to space the space arrow space head space of space minus straight B with rightwards arrow on top. Thus comma space the space vector space straight C with rightwards arrow on top space is space the space sum space of space straight A with rightwards arrow on top space and space space minus straight B with rightwards arrow on top comma space straight i. straight e. space difference space of space straight A with rightwards arrow on top space and space straight B with rightwards arrow on top. end style
 
begin mathsize 14px style Alternative space method colon In space this space method comma space straight A with rightwards arrow on top space and space straight B with rightwards arrow on top space are space drawn space from space the space same space point. space Now comma space if space straight B with rightwards arrow on top space is space to space be space subracted space from space straight A with rightwards arrow on top space then space the space vector space straight C with rightwards arrow on top space is space drawn space from space the space arrow space head space of space straight B with rightwards arrow on top space to space the space arrow space head space of space straight A with rightwards arrow on top and space vice minus versa. end style
 
 

Answered by Yashvanti Jain | 15th Dec, 2017, 07:19: PM

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