Find the magnitude of vector 𝐴 = 3𝑖 + 2𝑗 + 𝑘
Question
Find the magnitude of vector 𝐴 = 3𝑖 + 2𝑗 + 𝑘
Solution
The magnitude of a vector is calculated using the formula:
Magnitude = sqrt(x^2 + y^2 + z^2)
Where x, y, and z are the components of the vector. In this case, for vector A = 3i + 2j + k, the components are x = 3, y = 2, and z = 1.
So, the magnitude of vector A is:
Magnitude = sqrt((3)^2 + (2)^2 + (1)^2) Magnitude = sqrt(9 + 4 + 1) Magnitude = sqrt(14)
So, the magnitude of vector A is sqrt(14).
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