All Common Core: High School - Number and Quantity Resources
Example Questions
Example Question #1 : Magnitude And Direction Of A Vector Sum: Ccss.Math.Content.Hsn Vm.B.4b
If , and
, and the angle in between them is
, find the magnitude of the resultant vector.
In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that
,
, and
, then
Here is a visual representation of what we just found.
Example Question #2 : Magnitude And Direction Of A Vector Sum: Ccss.Math.Content.Hsn Vm.B.4b
If , and
, and the angle in between them is
, find the magnitude of the resultant vector.
In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that
,
, and
, then
Example Question #3 : Magnitude And Direction Of A Vector Sum: Ccss.Math.Content.Hsn Vm.B.4b
If , and
, and the angle in between them is
, find the magnitude of the resultant vector.
In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that
,
, and
, then
Example Question #4 : Magnitude And Direction Of A Vector Sum: Ccss.Math.Content.Hsn Vm.B.4b
If , and
, and the angle in between them is
, find the magnitude of the resultant vector.
In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that
,
, and
, then
Example Question #5 : Magnitude And Direction Of A Vector Sum: Ccss.Math.Content.Hsn Vm.B.4b
If , and
, and the angle in between them is
, find the magnitude of the resultant vector.
In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that
,
, and
, then
Example Question #6 : Magnitude And Direction Of A Vector Sum: Ccss.Math.Content.Hsn Vm.B.4b
If , and
, and the angle in between them is
, find the magnitude of the resultant vector.
In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that
,
, and
, then
Example Question #7 : Magnitude And Direction Of A Vector Sum: Ccss.Math.Content.Hsn Vm.B.4b
If , and
, and the angle in between them is
, find the magnitude of the resultant vector.
In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that
,
, and
, then
Example Question #8 : Magnitude And Direction Of A Vector Sum: Ccss.Math.Content.Hsn Vm.B.4b
If , and
, and the angle in between them is
, find the magnitude of the resultant vector.
In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that
,
, and
, then
Example Question #9 : Magnitude And Direction Of A Vector Sum: Ccss.Math.Content.Hsn Vm.B.4b
If , and
, and the angle in between them is
, find the magnitude of the resultant vector.
In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that
,
, and
, then
Example Question #10 : Magnitude And Direction Of A Vector Sum: Ccss.Math.Content.Hsn Vm.B.4b
If , and
, and the angle in between them is
, find the magnitude of the resultant vector.
In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that
,
, and
, then
All Common Core: High School - Number and Quantity Resources
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