# What is the unit vector that is orthogonal to the plane containing # ( - 4 i - 5 j + 2 k) # and # (4 i + 4 j + 2 k) #?

The unit vector is

Consequently,

Verification using the two dot method

Thus,

The vector of units is

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The unit vector orthogonal to the plane containing (-4i - 5j + 2k) and (4i + 4j + 2k) is (1/√3)i + (1/√3)j + (1/√3)k.

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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 at an angle of #(5pi)/12 # and a velocity of # 2 m/s#. How far away will the projectile land?
- How do you normalize # (2i -3j + 4k)#?

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