What is the vector as the sum of unit vectors

10 answers
Question:

What is the vector as the sum of unit vectors

[tex]What is the vector as the sum of unit vectors[/tex]


Answers

i dont know the answer because im in 5th grade but this will help you

Step-by-step explanation:

We see that the sum of vectors that are expressed in unit vector notation is simply the sum of the x components times i, plus, the sum of the y components times j, plus, the sum of the z components times k. )k , the vector that gives the position of particle 2 relative to particle 1. magnitude. vector.

The answer is d

Step-by-step explanation:

Got it right on edge Hope it helps it took me awhile

brainliest!!!???

The answer is C

[tex]m=\sqrt{(-7)^2 +(-5)^2}=\sqrt{74}[/tex]

The vector (-7,-5) as a sum of unit vectors is -7i-5j

the answer is C

Step-by-step explanation:

The answer is d

Step-by-step explanation:

Got it right on edge

D.

Step-by-step explanation:

Magnitude = 8.6

Unit vectors = [tex](-7/8.6, -5/8.6)[/tex]

Step-by-step explanation:

In this question, the magnitude of vector is to be found where origin is (-7,-5). It also require to write the vector as sum of unit vectors.

Magnitude of vector can be found using:

[tex]v= \sqrt { (x)^2 + (y)^2}[/tex]

where x = -7 y= -5

putting these values, the magnitude is:

[tex]v= \sqrt { (-7)^2 + (-5)^2}[/tex]

[tex]v= \sqrt { 49 + 25}[/tex]

[tex]v= \sqrt { 74}[/tex]

[tex]v= 8.6[/tex]

so, magnitude of vector from origin (-7,-5) is 8.6

To find the unit vector we need to divide x and y with magnitude.

unit vector= [tex](-7/8.6, -5/8.6)[/tex]

The answer is C, sqr74, -7i-5j.

The magnitude is 10 units.

Step-by-step explanation:

we have to find the magnitude of vector and also vector as the sum of unit vectors.

The magnitude of a vector is simply the Pythagorean Theorem

[tex]\sqrt{a^2+b^2} = ||(a,b)||[/tex]

a=8, b=-6

[tex]\sqrt{8^2+(-6)^2} = ||(8,-6)||[/tex]

[tex]magnitude = \sqrt{64+36}=\sqrt{100}=10 units[/tex]

The unit vector is

[tex]<8,-6=<\frac{8}{10},\frac{-6}{10}[/tex]

And in unit vector form, we have:

[tex]<8,-6=8\hat{i}-6\hat{j}[/tex]

The magnitude of the vector from the origin is 10

The unit vector in of the vector from the origin as   (8/10, -6/10

Step-by-step explanation:

1.Finding the magnitude,

we have the formula,

magnitude=√a²+b²

we have the values as a=8 and b=-6

Finding the magnitude we get,

magnitude=√a²+b²

magnitude=√8²+6²

magnitude=√100

magnitude=10

The magnitude of the vector from the origin is 10

2.Finding the  unit vector

Divide by the magnitude

Unit vector: (8/10, -6/10)

The unit vector in of the vector from the origin as   (8/10, -6/10

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