Question

If a vector has an x component of -25.0 units and a y component of 40.0 units, then the magnitude and direction of this vector is

• A. $5\sqrt{89} $ unit;$\sin^{-1}\frac{-5}{\sqrt{89}}$ with x-axis
• B. $5\sqrt{89} $ unit;$\cos^{-1}\frac{-5}{\sqrt{89}}$ with x-axis
• C. $45\sqrt{89} $ unit;$\cos^{-1}\frac{-5}{9}$ with x-axis
• D. $45\sqrt{89}$ unit;$\sin^{-1}\frac{-5}{9}$ with x-axis

Answer 1

Answer: (B)

$|\bar{P}| = \sqrt{x^2 + y^2} ; \tan \, \theta =\frac{y}{x}$ with $ x$ - axis