All Common Core: High School - Number and Quantity Resources
Example Questions
Example Question #1 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b
Calculate , where
. Also determine the direction of the resulting vector.
, Direction is away from
.
, Direction is the same as
.
, Direction is the same as
.
, Direction is away from
.
, Direction is away from
.
, Direction is away from
.
In order to solve the first part of the problem, we need to remember how to take the magnitude of a vector and scalar.
, where
is a scalar.
Now lets calculate this.
As for the direction of the vector, since , the resulting vector will be against the original vector
.
See below for a picture.
Example Question #2 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b
Calculate , where
. Also determine the direction of the resulting vector.
, Direction is the same as
.
, Direction is the same as
.
, Direction is away from
.
, Direction is the same as
.
, Direction is away from
.
, Direction is the same as
.
In order to solve the first part of the problem, we need to remember how to take the magnitude of a vector and scalar.
, where
is a scalar.
Now lets calculate this.
As for the direction of the vector, since , the resulting vector will be in the same direction as the original vector
.
Example Question #3 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b
Calculate , where
. Also determine the direction of the resulting vector.
, Direction is the same as
.
, Direction is the same as
, Direction is away from
.
, Direction is away from
.
, Direction is the same as
.
, Direction is the same as
In order to solve the first part of the problem, we need to remember how to take the magnitude of a vector and scalar.
, where
is a scalar.
Now lets calculate this.
As for the direction of the vector, since , the resulting vector will be in the same direction as the original vector
.
See below for a picture.
Example Question #4 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b
Calculate , where
. Also determine the direction of the resulting vector.
, Direction is away from
.
, Direction is the same as
.
, Direction is away from
.
, Direction is away from
.
, Direction is the same as
.
, Direction is away from
.
In order to solve the first part of the problem, we need to remember how to take the magnitude of a vector and scalar.
, where
is a scalar.
Now lets calculate this.
As for the direction of the vector, since , the resulting vector will be against the original vector
.
See below for a picture.
Example Question #5 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b
Calculate , where
. Also determine the direction of the resulting vector.
, Direction is the same as
.
, Direction is the same as
.
, Direction is away from
.
, Direction is away from
.
, Direction is away from
.
, Direction is away from
.
In order to solve the first part of the problem, we need to remember how to take the magnitude of a vector and scalar.
, where
is a scalar.
Now lets calculate this.
As for the direction of the vector, since , the resulting vector will be against the original vector
.
See below for a picture.
Example Question #6 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b
Calculate , where
. Also determine the direction of the resulting vector.
, Direction is away from
.
, Direction is away from
.
, Direction is the same as
.
, Direction is the same as
.
, Direction is away from
.
, Direction is away from
.
In order to solve the first part of the problem, we need to remember how to take the magnitude of a vector and scalar.
, where
is a scalar.
Now lets calculate this.
As for the direction of the vector, since , the resulting vector will be against the original vector
.
See below for a picture.
Example Question #7 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b
Calculate , where
. Also determine the direction of the resulting vector.
, Direction is the same as
.
, Direction is away from
.
, Direction is away from
.
, Direction is away from
.
, Direction is the same as
.
, Direction is the same as
.
In order to solve the first part of the problem, we need to remember how to take the magnitude of a vector and scalar.
, where
is a scalar.
Now lets calculate this.
As for the direction of the vector, since , the resulting vector in the same direction as the original vector
.
See below for a picture.
Example Question #8 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b
Calculate , where
. Also determine the direction of the resulting vector.
, Direction is the same as
.
, Direction is the same as
.
, Direction is away from
.
, Direction is away from
.
, Direction is away from
.
, Direction is the same as
.
In order to solve the first part of the problem, we need to remember how to take the magnitude of a vector and scalar.
, where
is a scalar.
Now lets calculate this.
As for the direction of the vector, since , the resulting vector will be in the same direction as the original vector
.
See below for a picture.
Example Question #9 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b
Calculate , where
. Also determine the direction of the resulting vector.
, Direction is away from
.
, Direction is the same as
.
, Direction is away from
.
, Direction is away from
.
, Direction is the same as
.
, Direction is the same as
.
In order to solve the first part of the problem, we need to remember how to take the magnitude of a vector and scalar.
, where
is a scalar.
Now lets calculate this.
As for the direction of the vector, since , the resulting vector will be in the same direction as the original vector
.
See below for a picture.
Example Question #10 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b
Calculate , where
. Also determine the direction of the resulting vector.
, Direction is the same as
.
, Direction is the same as
.
, Direction is away from
.
, Direction is away from
.
, Direction is away from
.
, Direction is away from
.
In order to solve the first part of the problem, we need to remember how to take the magnitude of a vector and scalar.
, where
is a scalar.
Now lets calculate this.
As for the direction of the vector, since , the resulting vector will be against the original vector
.
See below for a picture.
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All Common Core: High School - Number and Quantity Resources
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