Question

For any three vector A vector,B vector and C vector.if A vector=B vector-C vector determine the angle between A vector,B vector and B vector and C vector.... please answer​

Answer 1

Answer:

0 degree

Explanation:

Step 1: Squaring the given equation and simplifying it

Let θ be the angle between

a

and

b

.

Given:

a

+

b

=

c

Squaring on both sides :

∴(

a

+

b

)⋅(

a

+

b

)=

c

⋅

c

⇒ ∣

a

∣

2

+∣

b

∣

2

+2(

a

⋅

b

)=∣

c

∣

2

⇒ ∣

a

∣

2

+∣

b

∣

2

+2∣

a

∣∣

b

∣cosθ=∣

c

∣

2

....(1) [∵

a

⋅

b

=∣

a

∣∣

b

∣cosθ]

We are also given;

∣

a

+∣

b

∣=∣

c

∣

Squaring above equation

⇒∣

a

∣

2

+∣

b

∣

2

+2∣

a

∣∣

b

∣=∣

c

∣

2

....(2)

Step 2: Comparing the equations

Comparing eq

n

(1) and (2)

We get, cosθ=1

⇒

θ=0

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