Draw the vector c⃗ =1.5a⃗ −3b⃗ . the length and orientation of the vector will be graded. the location of the vector is not important.

Vector is a quantity that has a value and direction

Vector can be symbolized in the form of directed line segments

while the length of the vector is denoted by | a |

Vectors can be written in the form of sequential pairs which show their coordinates in the Cartesian plane :  a (a₁, a₂)

with length

If the direction of vector a is reversed, we get the vector -a which has the same length but in the opposite direction

Operations on vectors include addition and subtraction. Addition of vectors a and vector b can be done in a triangular way where the base point of vector b coincides with the endpoint of vector a

The sum of the two is obtained by pulling the line segment from the base point of vector a to the endpoint of vector b which results in a new vector c

So a + b = c

If vector a is added by inverse b (-b) then the sum becomes a + (- b) = a-b

If a vector is multiplied by a scalar number (eg denoted by k) then the new vector becomes k | a |.

If k> 0, the new vector is in the direction of vector a, but if k <0 it will be in the opposite direction

There is an incomplete picture in the problem (picture attached), then a total of the vector is sought to obtain C = 1.5A-3B

If we multiply vector A by 1.5 then the length becomes 1.5 times vector A and in the same direction, so does vector B multiplied by the value of -3, which is 3 times the length of vector B but the direction is opposite, so we get vector C (attached picture) obtained by drawing a line from the starting point A and the endpoint B

velocity position

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identify the components of a vector

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mathematical statement matches the vector operation

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Keywords: vector, addition, subtraction

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.