# What is the dot product of # (2i -3j + 4k)# and #(- 4 i - 5 j + 2)#?

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The dot product is 26.

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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.

- If a projectile is shot at a velocity of #12 m/s# and an angle of #pi/6#, how far will the projectile travel before landing?
- A rifle that shoots bullets at is to be aimed at 460m/s a target 45.7 m away. If the center of the target is level with the rifle, how high above the target must the rifle barrel be pointed so that the bullet hits dead center?
- A projectile is shot at an angle of #pi/8 # and a velocity of # 12 m/s#. How far away will the projectile land?
- If a projectile is shot at a velocity of #13 m/s# and an angle of #pi/6#, how far will the projectile travel before landing?
- How do you normalize #<0, 4, 4>#?

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