Honors Geometry Companion Book, Volume 2

8.2.3 Vectors - Practice

1.  Write EB with E ( − 4, − 6) and B (9, − 4) in component form.

2.  Write p with magnitude 6.5 and direction 76 ° in component form. Round to the nearest tenth.

4.  Find the sum of the vectors 〈− 5, 2 〉 and 〈 6, 9 〉 . Then find the magnitude and direction of the resultant vector. Round angles to the nearest degree and other values to the nearest tenth.

3.  Find the magnitude and direction of the vector 〈 4, 2 〉 . Round angles to the nearest degree and other values to the nearest tenth.

6.  A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36 ° E. There is a 10 mi/h cross wind blowing due east. What is the balloon’s actual speed and direction? Round angles to the nearest degree and other values to the nearest tenth.

5.  A single-engine airplane is heading due east at a constant speed of 150 mi/h. There is a 30 mi/h cross wind blowing north. What is the plane’s actual speed and direction? Round angles to the nearest degree and other values to the nearest tenth.

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