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

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To find the cross product of vectors ( \mathbf{a} = \langle 1, 2, -4 \rangle ) and ( \mathbf{b} = \langle -1, -1, 2 \rangle ), we use the formula ( \mathbf{a} \times \mathbf{b} = \langle a_2b_3 - a_3b_2, a_3b_1 - a_1b_3, a_1b_2 - a_2b_1 \rangle ). Substituting the values, we get ( \mathbf{a} \times \mathbf{b} = \langle 6, -2, -1 \rangle ).

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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.

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- A projectile is shot from the ground at an angle of #pi/6 # and a speed of #15 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?
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