12.1-2

# 12.1-2 - the ground beneath her begins to shift north at a...

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MATH 231 Group Work Quiz Related 1. Determine whether the points lie on a straight line: (a) (1 , 2 , 3), (4 , 5 , 6), and (7 , 8 , 9). (b) ( - 1 , - 5 , 1), (1 , 2 , 5), and (3 , 9 , 9). 2. Find the unit vector in the direction of the given vector: (a) h 2 , 0 , 0 i (b) 4 i + 2 j - 3 k (c) h 1 , 3 , 4 i (d) h 2 , - 3 , 7 i 3. Show that the equation represents a sphere. Compute the center and radius. 4 x 2 + 4 y 2 + 4 z 2 = 1 - 16 y + 8 x 4. Name all equal vectors in the ﬁgure shown. A B C D E 5. A Los Angeles woman walks west at a speed of 4 mph. Suddenly, there is a violent earthquake and
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Unformatted text preview: the ground beneath her begins to shift north at a speed of 7 mph. Find the speed and direction of the woman relative to the perspective of an outside observer. 6. Graph the region given by the inequality y 2-2 y + z 2 ≤ 3 7. A man throws a javelin at with angle of elevation 20 ◦ and a speed of 35 m/s. Compute the horizontal and vertical components of the velocity vector. 1...
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