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Write the value of cosine of the angle which the vector a⃗ = î + ĵ + k̂ makes with Y-axis.
Write the value of cosine of the angle which the vector a⃗ = î + ĵ + k̂ makes with Y-axis.
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Answer:
Step-by-step explanation:
We know that cosine of the angle between two vectors is equal to the dot product of the vectors divided by the multiplication of their magnitudes.
Hence:[tex]cos(\theta) = dot product of vectors / multiplication of magnitudes of both vectors[/tex]
here the first vector is = i + j+ k
and the second vector is = j (along the Y axis)
so, dot product = 1
the magnitude of the first vector = [tex]\sqrt{3}[/tex]
the magnitude of the second vector = 1
Hence :
[tex]cos(\theta) = 1/\sqrt{3}[/tex]