Question

If vector a and b are such that a+b=a=b then a-b may be equated to

Answer 1

Dear Student,

● Answer -

|A-B| = √3.A

◆ Explaination -

Given that |A+B| = |A| = |B|

Now, squaring |A+B| -

|A+B|² = (A+B).(A+B)

|A+B|² = A² + 2A.B + B²

|A+B|² = 2A² + 2A.B

But, |A+B| = |A|,

A² = 2A² + 2A.B

A² = -2A.B

To calculate |A-B|,

|A-B|² = (A-B).(A-B)

|A-B|² = A² - 2A.B + B²

|A-B|² = A² + A² + A²

|A-B|² = 3A²

|A-B| = √3.A

Thanks for asking..

Answer 2

hope it help you

this is the answer