Eduprobe
Question:
Write the value of (î × ĵ) ⋅ k̂ + î ⋅ ĵ
Solution:
Since (î × ĵ) = k̂
Now consider (î × ĵ) ⋅ k̂ + î ⋅ ĵ as shown below:
(î × ĵ) ⋅ k̂ + î ⋅ ĵ = k̂ ⋅ k̂ + î ⋅ ĵ = 1 + 0 = 1
Hence, (î × ĵ) ⋅ k̂ + î ⋅ ĵ = 1.
Since (î × ĵ) = k̂
Now consider (î × ĵ) ⋅ k̂ + î ⋅ ĵ as shown below:
(î × ĵ) ⋅ k̂ + î ⋅ ĵ = k̂ ⋅ k̂ + î ⋅ ĵ = 1 + 0 = 1
Hence, (î × ĵ) ⋅ k̂ + î ⋅ ĵ = 1.