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3 years ago

8 If u = 11i + 7j, v= -7i+ 11j find the dot product of u and v?

Mathematics

1 answer:

Harman [31]3 years ago

6 0

Let's solve for v.

v=−7i+11

Answer:v=−7i+11

Step-by-step explanation: Hope you understand. Hope this help :)

Let's simplify step-by-step.

11i+7j

There are no like terms.

Answer:=11i+7j

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Salsk061 [2.6K]

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Step-by-step explanation: -|b-a|

-|-2-4|

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3 years ago

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Jennie says the experimental probability that a 7th grade student reads at least 100 pages per week is 16/125. What is her error

alukav5142 [94]

Answer:

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Step-by-step explanation:

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3 years ago

A bicycle wheel with the diameter 70cm is making 25 revolutions while travelling. Find the distance covered by the bicycle

Diano4ka-milaya [45]

Answer: 5500cm.

Step-by-step explanation:

A revolution corresponds to circumference of the bicycle wheel.

The radius of the circle = 70/2 since two radii makes a diameter.

Therefore r = 35cm

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3 years ago

Sinx = 1/2, cosy = sqrt2/2, and angle x and angle y are both in the first quadrant.

Leviafan [203]

Answer:

Option D. 3.73

Step-by-step explanation:

we know that

$tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

and

$sin^{2}(\alpha)+cos^{2}(\alpha)=1$

step 1

Find cos(X)

we have

$sin(x)=\frac{1}{2}$

we know that

$sin^{2}(x)+cos^{2}(x)=1$

substitute

$(\frac{1}{2})^{2}+cos^{2}(x)=1$

$cos^{2}(x)=1-\frac{1}{4}$

$cos^{2}(x)=\frac{3}{4}$

$cos(x)=\frac{\sqrt{3}}{2}$

step 2

Find tan(x)

$tan(x)=sin(x)/cos(x)$

substitute

$tan(x)=1/\sqrt{3}$

step 3

Find sin(y)

we have

$cos(y)=\frac{\sqrt{2}}{2}$

we know that

$sin^{2}(y)+cos^{2}(y)=1$

substitute

$sin^{2}(y)+(\frac{\sqrt{2}}{2})^{2}=1$

$sin^{2}(y)=1-\frac{2}{4}$

$sin^{2}(y)=\frac{2}{4}$

$sin(y)=\frac{\sqrt{2}}{2}$

step 4

Find tan(y)

$tan(y)=sin(y)/cos(y)$

substitute

$tan(y)=1$

step 5

Find tan(x+y)

$tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

substitute

$tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73$

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3 years ago

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max2010maxim [7]

Answer:

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Step-by-step explanation:

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3 years ago