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poizon [28]
3 years ago
14

Find u*v if u=14j and v=i+4j

Mathematics
1 answer:
8090 [49]3 years ago
6 0
\vec{u} and \vec{v} are vectors and:

 \vec{u}=14j=0i+14j=[0,14]\\\\
\vec{v}=i+4j=1i+4j=[1,4]

\vec{u}\cdot\vec{v} is the dot product or scalar product, so:

\vec{u}\cdot\vec{v}=[0,14]\cdot[1,4]=0\cdot1+14\cdot4=56

Correct answer is A.
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Which statement is true?
ANEK [815]

Option B:

A ray has two endpoints and extends infinitely in both directions.

Solution:

Option A: Two lines that intersect are called skew lines.

It is false because,

Two lines are said to be skew lines if they do not intersect and do not lie in the same plane.

Option B: A ray has two endpoints and extends infinitely in both directions.

It is false because,

A ray has one endpoint and extends infinitely in one direction.

Option C: A line is a set of points that extends infinitely in both directions.

It is false true.

A line is a set of points that extends infinitely in both directions.

Option D: Two lines in the same plane are said to be perpendicular if they never intersect.

It is false because,

Two lines are said to be perpendicular if they are intersect.

Hence Option B is true. A line is a set of points that extends infinitely in both directions.

8 0
3 years ago
The average attendance at a local high school this year was 950 students. Each year the attendance decreases at a rate of 5% per
o-na [289]

Answer:

Number of students= 820.64 = 821

Step-by-step explanation:

Giving the following information:

Current attendance= 950 students

Number of periods= 3 years

Decrease rate= 5%

<u>To calculate the number of students in attendance in 3 years, we need to use the following formula:</u>

Number of students= current attendance*(1+decrease rate)^(-n)

Number of students= 950*(1.05^-3)

Number of students= 820.64 = 821

5 0
3 years ago
The star Sirius is more than 4 light-years farther than earth than the star Centauri. Write an inequality that represents the di
vredina [299]
Hold before I need to answer is this math or science, I need to know which one to write.
6 0
3 years ago
Solve this -5-x=-3x-17
drek231 [11]

Answer:

-6

Step-by-step explanation:

5 0
3 years ago
Find the length of<br> __<br> JK<br> Round answer to nearest tenth.
PIT_PIT [208]

Answer:

Step-by-step explanation:

We would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes

JK² = JL² + KL² - 2(JL × KL)Cos10

JK² = 61² + 53² - 2(61 × 53)Cos10

JK² = 3721 + 2809 - 6466Cos10

JK² = 6530 - 6367.767

JK² = 162.233

Taking square root of both sides of the equation, it becomes

JK = √162.233

JK = 12.73 to the nearest tenth

6 0
3 years ago
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