Question

If à and b having same magnitude and angle between them is 60° and their scalar product 1 is then |a| is​

Answer 1

Answer:

Given, both vectors have same magnitude i.e., ∣a∣=∣b∣ and scalar product of vectors, a⋅b=

2

1

(given).

Let θ be the angle between two vectors a and b. Then,

cosθ=

∣a∣∣b∣

a⋅b

⇒cos60

∘

=

∣a∣∣a∣

2

1

[∵∣a∣=∣b∣(given)]

⇒

2

1

=

2∣a∣

2

1

⇒∣a∣=1

∴∣a∣=∣a∣=1.

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Answer 2

Answer:

Given, both vectors have same magnitude i.e., ∣a∣=∣b∣ and scalar product of vectors, a⋅b=

2

1

(given).

Let θ be the angle between two vectors a and b. Then,

cosθ=

∣a∣∣b∣

a⋅b

⇒cos60

∘

=

∣a∣∣a∣

2

1

[∵∣a∣=∣b∣(given)]

⇒

2

1

=

2∣a∣

2

1

⇒∣a∣=1

∴∣a∣=∣a∣=1

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