Find the magnitude of the vector 3i 4j Answer SolutionIn ge

Find the magnitude of the vector 3i - 4j Answer.

Solution

In general, the magnitude of the vector a₁i + a₂j + a₃k is sqrt[a₁² + a₂² + a₃²]

Here a1 = 3

a2 = -4

a3 = 0

Then magnitude = sqrt[3^2 + (-4)^2 + 0] = sqrt(9 + 16) = 5