Question

A=I+j B=i-j find the angle between them

Answer 1

GivEn:

• Ā = î + j
• B = î - j

To find:

• The angle between them?

Solution:

In order to calculate the angle between them, We have to use,

★ Cos theta = A . B/|A||B|

Here,

• A . B = Dot product of A bar & B Bar.
• |A||B| = Mod of A & B.

⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

« By applying it,

⇒i(i) + j(-j)/|A||B|

⇒1 - 1/|A||B|

⇒(0)/|A||B|

As we know that,

• Anything divided by 0 is 0.

Thus,

Cos θ = 0°

⇒θ = Cos^-1 of 0°

⇒θ = 90°

∴ Hence, The angle between the two vectors is 90°.