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`        Let a ⃗=2i ⃗+3j ⃗+4k ⃗  and b ⃗=3i ⃗+4j ⃗+5k ⃗. Find the angle between them .`
5 years ago

Jitender Pal
365 Points
```							Sol. a ⃗ = 2i ⃗ + 3 j ⃗ + 4k ⃗; b ⃗ = 3i ⃗ + 4 j ⃗  + 5k ⃗
a ⃗ . b ⃗ = ab cos θ ⇒ θ = cos-1 (a ⃗  .b ⃗)/ab
⇒ cos-1 ( 2 x 3+3 x 4 +4 x 5)/(√(2^2  +3^2+4^2 )   √(3^2+4^2+5^2 ))   = cos-1 (38/√1450)

```
5 years ago
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