For a vector

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

For a vector A⃗=Ax i^+Ay j^\vec A = A_x\,\hat i + A_y\,\hat j, which of the following expressions gives its magnitude AA? (a) A=Ax+AyA = A_x + A_y (b) A=Ax2+Ay2A = \sqrt{A_x^2 + A_y^2} (c) A=Ax2−Ay2A = \sqrt{A_x^2 - A_y^2} (d) A=Ax2+Ay22A = \sqrt{\dfrac{A_x^2 + A_y^2}{2}}

Related theory

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