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Two homework problems I'm having trouble with. Please explain for me step by step how to solve.

9. (10 pts) An airplane proceeds at a bearing of S30E, flying at 540 miles per hour. (no

explanations required)

(a) State the angle in standard position which corresponds to the bearing S30E. (b) Find the easterly and southerly components of the airplane's velocity. That is, find the

component form of the vector which has a magnitude of 540 and makes the angle with the

positive x-axis. (Use the value of you stated in part (a).) State the exact values and also give

approximations to the nearest mile per hour. 2. Let v 4,2 and w 1, 3 . (a) Find 7v 3w and state the result in component form. (b) State the exact magnitude (length) of v and the exact magnitude of w .

(c) State the dot product v w

(d) Find in component form. Give exact values. Show work.

(e) Determine the angle between and . Show work. Write the exact angle as the

v w arccosine of an appropriate number. Also, use a calculator to approximate the value of the angle,

rounding the result to the nearest degree.

Please show work

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DATE ANSWEREDSep 21, 2019

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