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Andre45 [30]
3 years ago
11

Need help with this question.

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0
1 positive is the answer
daser333 [38]3 years ago
4 0

Answer:

1. Positive

2. Negative

3. Negative

4. Positive

Step-by-step explanation:

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Find the projection of u onto v<br> URGENT HELP
padilas [110]

Given:

Two vectors are:

u=\left

v=\left

To find:

The projection of u onto v.

Solution:

Magnitude of a vector v=\left is:

|v|=\sqrt{a^2+b^2}

Dot product of two vector v_1=\left and v_2=\left is:

v_1\cdot v_2=a_1a_2+b_1b_2

Formula for projection of u onto v is:

Proj_vu=\dfrac{u\cdot v}{|v|^2}v

Proj_vu=\dfrac{\left \cdot \left }{(\sqrt{2^2+17^2)^2}}\left

Proj_vu=\dfrac{0\cdot 2+6\cdot 17}{4+289}\left

Proj_vu=\dfrac{0+102}{293}\left

On further simplification, we get

Proj_vu=\dfrac{102}{293}\left

Proj_vu=\left

Proj_vu=\left

Therefore, the projection of u onto v is Proj_vu=\left.

3 0
3 years ago
How do I find the value of k​
Tju [1.3M]

The value of k is 2/5

\texttt{ }

<h3>Further explanation</h3>

Vector is quantity that has magnitude and direction.

One example of a vector is acceleration.

Let us now tackle the problem !

\texttt{ }

This problem is about Vector Diagram.

\overrightarrow{OA} = \overrightarrow{a}

\overrightarrow{OC} = \overrightarrow{c}

X is the midpoint of the line AC:

\overrightarrow{x} = \frac{1}{2} (\overrightarrow{a} + \overrightarrow{c})

\texttt{ }

OC : CD = k : 1

k \overrightarrow{CD} = \overrightarrow{OC}}

k( \overrightarrow{d} - \overrightarrow{c} ) = \overrightarrow{c}}

( \overrightarrow{d} - \overrightarrow{c} ) = \frac{1}{k} \overrightarrow{c}}

\overrightarrow{d} = \overrightarrow{c} + \frac{1}{k} \overrightarrow{c}}

\overrightarrow{d} = ( 1 + \frac{1}{k} ) \overrightarrow{c}}

\texttt{ }

\overrightarrow{XD} = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}

\overrightarrow{d} - \overrightarrow{x} = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}

( 1 + \frac{1}{k} ) \overrightarrow{c} - \frac{1}{2} (\overrightarrow{a} + \overrightarrow{c}) = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}

( 1 + \frac{1}{k} - \frac{1}{2}) \overrightarrow{c} - \frac{1}{2} \overrightarrow{a} = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}

( \frac{1}{k} + \frac{1}{2}) \overrightarrow{c} - \frac{1}{2} \overrightarrow{a} = 3 \overrightarrow{c} - \frac{1}{2} \overrightarrow{a}

\frac{1}{k} + \frac{1}{2} = 3

\frac{1}{k} = 3 - \frac{1}{2}

\frac{1}{k} = \frac{5}{2}

k = \frac{2}{5}

\texttt{ }

<h3>Learn more</h3>
  • Velocity of Runner : brainly.com/question/3813437
  • Kinetic Energy : brainly.com/question/692781
  • Acceleration : brainly.com/question/2283922
  • The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Vectors

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate, Stream , Vector

7 0
4 years ago
If QR = 9 and ST = 13 calculate LM.
pickupchik [31]

Answer:

\boxed{\sf LM = 11}

Step-by-step explanation:

According to trapezoid mid-segment theorem:

LM = \frac{QR+ST}{2}\\ Given \ that\ QR = 9, ST = 13

\sf LM =  \frac{9+13}{2}

LM = 22/2

LM = 11

5 0
4 years ago
Lan pays a semiannual premium of ​$650 for automobile​ insurance, a monthly premium of ​$125 for health​ insurance, and an annua
bezimeni [28]

Answer:

Monthly Expense = $270.83

Step-by-step explanation:

The semi-annual premium is paid twice a year so,

Automobile insurance premium for whole year = 650*2

= $1300

Monthly premium will be paid 12 times a year so,

Health insurance premium for whole year = 125*12 = $1500

Annual premium is only paid once a year.

So adding all the premiums will give us the total premiums for whole year.

Total amount of premium for a year = $1300+$1500+$450

= $3250

The premium amount for whole year is $3250. To find the monthly expense, we will divide it by 12.

So monthly expense is:

= 3250/12

= $270.83 ..

8 0
4 years ago
If you spin the spinner 12 times, what is the best prediction possible for the number of times it will land on pink?
Norma-Jean [14]
2/3 if that’s the question
3 0
3 years ago
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