Question

friend please solve this and show me the method

I'll mark you as BRAINLIEST​

Answer 1

Answer:

since I has no provision for putting vector symbol , I am not putting any vector symbol in the steps given below

ur ans is:-

unit vector along (A+B) = 1 /$\sqrt125$ * ( 10 i + 5 j )

                 along (A- B) = 1 / $\sqrt65$ * (j - 8 k)

Explanation:

steps

1) to find unit vector along (A+B)

1 st we have to find A+ B

given ,

A = 5i + 3 j - 4k

B= 5i+2j+ 4k

A+B= 10 i + 5 j    ( done as same as the way we do for simple addition)

to find unit vector along A + B apply the eqn,

(A+B) / (magnitude of ( A+ B) )---------(1)

magnitude of A+ B= $\sqrt{10^2 + 5^2$ = $\sqrt125$

applying all values in eqn (1)

unit vector = 1 / $\sqrt{125$ * ( 10 i + 5j )

2) to find unit vector along ( A-B)

( I m not writing detailed step since it is almost  similar to above steps)

1 st we have to find A-B

then find magnitude of A- B  using the method menetioned above

then we can find unit vector in this case apply eqn ,

(A - B) / (magnitude of (A- B) )-----(2)

then putting all values in eqn 2 we get the answer which is stated 1 st in answer coloumn

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If u have any dbts u can put it as a comment below this answer ...

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hope it help u