# What is the cross product of #<-3,0,1># and #<1,2,-4>#?

The cross product of (-3,0,1) and (1,2,-4) is (-2,11,-6).

Unit vectors (length 1) along each of the axes are shown in the first row. The first vector's coordinates are shown next, followed by the second vector's coordinates.

#=hat(x)A_yB_z+hat(y)A_zB_x+hat(z)A_xB_y -hat(x)A_zB_y-hat(y)A_xB_z-hat(z)A_yB_x =hat(x)(A_yB_z-A_zB_y)+hat(y)(A_zB_x-A_xB_z) +hat(z)(A_xB_y-A_yB_x) =(A_yB_z-A_zB_y, A_zB_x-A_xB_z, A_xB_y-A_yB_x)#

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Objects A and B are at the origin. If object A moves to #(-4 ,7 )# and object B moves to #(6 ,-5 )# over #3 s#, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
- A ball is shot vertically upward from the surface of another planet. A plot of y versus t for the ball is shown in the figure, where y is the height of the ball above its starting point and t = 0 at the instant the ball is shot ?
- What is the cross product of #<4 , 5 ,0 ># and #<4, 1 ,-2 >#?
- Why are vertical and horizontal motion considered independent?
- A man stands on a crane and throws a water balloon down at at 21 m/s. He finds that it takes 2.4s for the balloon to hit the ground. What is its velocity after 1.14 seconds have passed?

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