Draw each vector on a coordinate plane. Find the direction of the vector to the nearest degree. 24. A boat's velocity is given by the vector \( \langle 4,1.5\rangle \). 25. The path of a submarine is given by the vector \( \langle 3.5,2.5\rangle \). 26. The path of a projectile is given by the vector \( \langle 2,5\rangle \).

**24. Boat's velocity vector \( \langle 4,1.5 \rangle \)** 1. Plot the point \( (4,1.5) \) on the coordinate plane with the tail at the origin. 2. The direction angle \( \theta \) is given by \[ \theta = \arctan\left(\frac{1.5}{4}\right) \] 3. Calculate \[ \theta \approx \arctan(0.375) \approx 20.6^\circ. \] 4. Rounding to the nearest degree, the direction is \( 21^\circ \). --- **25. Submarine's path vector \( \langle 3.5,2.5 \rangle \)** 1. Plot the point \( (3.5,2.5) \) on the coordinate plane with the tail at the origin. 2. The direction angle \( \theta \) is given by \[ \theta = \arctan\left(\frac{2.5}{3.5}\right) \] 3. Calculate \[ \theta \approx \arctan(0.7143) \approx 35.5^\circ. \] 4. Rounding to the nearest degree, the direction is \( 36^\circ \). --- **26. Projectile's path vector \( \langle 2,5 \rangle \)** 1. Plot the point \( (2,5) \) on the coordinate plane with the tail at the origin. 2. The direction angle \( \theta \) is given by \[ \theta = \arctan\left(\frac{5}{2}\right) \] 3. Calculate \[ \theta \approx \arctan(2.5) \approx 68.2^\circ. \] 4. Rounding to the nearest degree, the direction is \( 68^\circ \).