Question40- Two vectors have magnitudes of 10 m and 15 m . The angle between them when they are drawn with their tails at the same point is $65^{\circ}$. The component of the longer vector along the line of the shorter is: A. 0 B. 4.2 m C. 6.3 m D. 9.1 m E. 14 m

Studdy Solution
Calculate the component:
$$\cos(65^\circ) \approx 0.4226$$
$$\text{Component} = 15 \cdot 0.4226$$ $$\approx 6.339 \text{ m}$$
Round to the nearest tenth:
$$\approx 6.3 \text{ m}$$
The component of the longer vector along the line of the shorter is:
$$\boxed{6.3 \text{ m}}$$