Question

If vectors a b and c have magnitudes 8 15 and 17

Answer 1

Answer:

Question given is incomplete. Complete Question will be If the vectors a b and b have magnitudes 8 15 and 17 and a+b=c.Find the angle between a and b.

Solutions ⇒

Let θ be the angles between the vectors a and b.

Given condition ⇒

Magnitude of the Vector a = 8 units.

Magnitude of the Vectors b = 15 units.

Magnitude of the Vectors c = 17 units.

Now,

The magnitudes of a, b and c can be written as ⇒

|a|² + |b|² + |a||b| Cos θ = |c|²

∴ |8|² + |15|² + |8||15| Cos θ = |17|²

⇒ 64 + 225 + 120 Cos θ = 289

⇒ 289 + 120 Cos θ = 289

⇒ 120 Cos θ = 289 - 289

⇒ 120 Cos θ = 0

∴ Cos θ = 0/120

∴ Cos θ = 0

⇒ Cos θ = Cos 90°

On comparing,

  θ = 90°

Hence, the angle between the vectors a and b is 90°.

Hope it helps.

Explanation:

Answer 2

Answer:

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