The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is .
<h3>What is the value of a vector with respect to another vector?</h3>
First, we need to determine the value of the vector u by subtracting two vectors whose <em>initial</em> points are at the origin:
(1)
According to the statement, vector v is antiparallel to vector u and its magnitude is five times as the magnitude of vector v, which means that (1) must be multiplied by two scalars:
(2)
Please notice that antiparallelism is represented by the scalar - 1, whereas the dilation is represented by the scalar 5.
The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is .
<h3>Remark</h3>
The statement presents typing mistakes, correct form is shown below:
<em>Vector u has initial points at (21, 12) and its terminal point at (19, - 8). Vector v has a direction opposite that of u, whose magnitud is five times the magnitud of v. Which is the correct form of vector v expressed as a linear combination of the unit vectors i and j?</em>
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Answer:
Step-by-step explanation:
Isolate x on one side of the equation.
First, do parenthesis.
4(2+3)
Add.
3+2=5
Multiply.
4*5=20
Rewrite the equation problem.
x+20<5x
Secondly, subtract 20 from both sides.
x+20-20<5x-20
Solve.
x<5x-20
Thirdly, subtract 5x from both sides.
x-5x<5x-20-5x
Solve.
5-1=4
-4x<-20
Then, multiply -1 from both sides.
(-4x)(-1)>(-20)(-1)
Solve.
(-4x)(-1)=4x
(-20)(-1)=20
4x>20
Divide by 4 from both sides.
4x/4>20/4
Solve.
20/4=5
x>5
The solutions is 5, therefore, the correct answer is x>5.
The slope of the line is -23
<h3>How to determine the
slope of the
line?</h3>
The line’s equation is given in point-slope form:
y − 6 = (−23)(x + 6)
The line’s equation in point-slope is represented as:
y − y1 = m(x - x1)
Where
m represents the slope
By comparing y − y1 = m(x - x1) and y − 6 = (−23)(x + 6), we have
m = -23
Hence. the slope of the line is -23
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Run is looking to the right and making a triangle rise is how much it rises until it gets to the line
1) Let's evaluate that expression, given that a=4.9, b=-7, and c=-0.5
Note that we have rewritten it as a fraction so that we can easily operate. Also, we have applied here the PEMDAS order of operations, prioritizing the exponents.