Question

18. Find the magnitude and direction of the resultant of two vectors A and B in term of their magnitudes and

angle between them?​

Answer 1

Answer:

Let a be the first term and d be the common difference.

mth term of an A.P is begin mathsize 16px style 1 over straight m end style.

am = a + (m - 1)d  

begin mathsize 16px style rightwards double arrow straight a space plus space md space minus space straight d space equals space 1 over straight n space space space.... space space left parenthesis straight i right parenthesis

straight n to the power of th space term space of space an space straight A. straight P space is space 1 over straight n.

straight a subscript straight n space equals space straight a space plus space left parenthesis straight n space minus 1 space right parenthesis straight d space

rightwards double arrow space straight a space plus space nd space minus space straight d space equals space 1 over straight m space space space space.... space space left parenthesis ii right parenthesis

Subtract space left parenthesis ii right parenthesis space from space left parenthesis straight i right parenthesis comma space we space get

straight d space equals space 1 over mn

Put space space straight d space equals 1 over mn space in space equation space left parenthesis straight i right parenthesis comma space we space get

straight a space equals 1 over mn

space space

To space find space mn to the power of th term colon

straight a subscript mn space equals space straight a space plus space left parenthesis mn space minus space 1 right parenthesis straight d space equals space 1 over mn plus space left parenthesis mn space space minus space 1 right parenthesis space 1 over mn space equals space 1 end style

Answered by Yasmeen Khan | 25th Mar, 2019,  11:23: AM

Explanation: