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skad [1K]
3 years ago
11

Please help :,,,,,,,,,|

Mathematics
2 answers:
Oxana [17]3 years ago
4 0

Answer:

which one can I answer for you

Shkiper50 [21]3 years ago
4 0

Answer:

which class are you on and which answer do you want me to solve

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Find a ·<br> b. |a| = 80, |b| = 50, the angle between a and b is 3π/4.
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Answer:

a\cdot b=-2000\sqrt{2}

Step-by-step explanation:

Given information: |a| = 80, |b| = 50, the angle between a and b is 3π/4.

We need to find the dot product  a · b.

The formula of dot product is

a\cdot b=|a||b|\cos \theta

where, θ is the angle between a and b.

Substitute the given values in the above formula.

a\cdot b=(80)(50)\cos (\frac{3\pi}{4})

a\cdot b=4000\cos (\pi-\frac{\pi}{4})

a\cdot b=-4000\cos (\frac{\pi}{4})           [\because \cos (\pi-\theta)=-\cos \theta]

a\cdot b=-4000\frac{1}{\sqrt{2}}

a\cdot b=-\frac{4000}{\sqrt{2}}

Rationalize the above equation.

a\cdot b=-\frac{4000}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}

a\cdot b=-\frac{4000\sqrt{2}}{2}

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