A 1,900 lb boat is parked on a ramp that makes an angle of 30° with the horizontal. The boat's weight vector points downward and is a sum of two vectors: a horizontal vector v1 parallel to the ramp and a vertical vector v2 perpendicular to the inclined surface. The magnitudes of vectors v1 and v2 are the horizontal and vertical component, respectively, of the boat's weight vector. Find the magnitudes (in lb) of v1 and v2. (Round your answers to the nearest integer.) v1=?lb v2=?lb

2) Find the resultant (sum) of the vectors shown below. Express the resultant vector using its magnitude and direction. y 302 lb 212 lb 45.4°/ 30.8° 53.0° 155 lb

Find the angle between the given vectors, rounding to the nearest tenth of a degree:  a= <3,5> b= <-2i+5j> a- 22.5 b-102.5 c-52.7 d-32.7

Starting from home at the origin O. a rhino travels for 9.1 km in the direction 60° North of East to a point A. From point A she travels due North for 11 km to a point B. (a) Suppose the vectors OA and AB represent each part of the rhino's travels. Write the components of each vector. Report any approximate values to 2 decimal places. OA= Number 14 Number AB= Number Number (b) Report the vector OB-OA+ AB in component form Report any approximate values to 2 decimal places. OB- Number 7+ Number 3 (c) Report how far apart she is from home, i.e., how far are the points O and B? km (Round to 2 decimal places.) OB Number 0 (d) From point B she decides to return back to the point O. In what direction south of west must she travel in order to get back to the point ? (Report in degrees, rounded to 2 decimal places.) 8 Number