All Common Core: High School - Number and Quantity Resources
Example Questions
Example Question #11 : 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 #12 : 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.
All Common Core: High School - Number and Quantity Resources
