Two vectors A bar amd B bar are the such that A bar +B bar =c bar and A square +B square=C sqaure .If theta is angle between positive directions of A bar and B bar
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Answer:
Vector c is resulant of vector a and b by triangle
Law of addition
Therefore A and B are 90 degree by Pythagoras Theoram
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The Direction will be Ф = π/2.
We are Given,
A² + B²= C²... equation (1)
A⁻ + B⁻ = C⁻
which gives us the identity
A² + B² + 2AB = C²...equation (2)
from (1) and (2)
⇒2A⁻. B⁻ = 0
⇒A⁻. B⁻ = 0
⇒A B CosФ = 0
If A ≠ 0 B ≠ 0 then CosФ = 0
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