Let å = (0, 3, – 5) and 6 = (3, 1, – 3). Find the angle between the vector (in radians)

A ship travels N36°E for 500 nautical miles. In component form, which vector represents this displacement? Picture not deawn to seale. 500 NM East O (500 tan(36"), 500 tan(54")) O (500 cos(36"), 500 sin(36")) O (500 cos(54°), 500 sin(54°)) O (500 sin(36"), 500 cos(36°)) O (500 sin(54), 500 cos(54')) 7 8 9 10 11 12 13 14 15 16 Next North

Let v = -7i+ 3j and w=-i-4j. Find 4v - 4w. 4v - 4w= (Simplify your answer. Type your answer in terms of i and j.)

Vectors A and B form a 30° angle. A= 3 and B = 5. What is 4 - B?

Consider the point P(-2,3) on the coordinate system. Describe geometrically the position vector generated by P and calculate its magnitude.

Mathew wants to throw a bouncy ball at the ceiling so that it bounces down and lands on Wiley's head. He throws the ball up in the air where it travels 9.5 ft at an angle of 70 degrees above the ground before it hits the ceiling. After the ball bounces off the ceiling, it travels a distance of 10 ft in the same direction as vector 5i-7j before it hits Wiley's head. What is the angle (alpha, labeled in orange on diagram) formed by the ball bouncing off the ceiling? Write your answer in degrees and round to 2 decimal places. Leave your answer in exact form until the final step. you must use the below formula as part of your work to solve for the angle formed by the ball bouncing off the ceiling. cos 0 Make sure you clearly show and label your work. You should use exact form until the final step of your work. ceiling Mathew Wiley Note: drawing is not to scale Draw or ac

Find the direction angle to the nearest degree for the vector v = =