If the angle between vectors with magnitude 12 and 4 is 60% than their scalar product is About the author Savannah
Answer: 1 is the answers it’s explanation is down below Explanation: 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. Reply
Answer:
1 is the answers it’s explanation is down below
Explanation:
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.