All GRE Subject Test: Math Resources
Example Questions
Example Question #1 : Vectors & Spaces
Calculate the dot product of the following vectors:
Write the formula for dot product given and
.
Substitute the values of the vectors to determine the dot product.
Example Question #1 : Vectors
Express in vector form.
The correct form of x,y, and z of a vector is represented in the order of i, j, and k, respectively. The coefficients of i,j, and k are used to write the vector form.
Example Question #1 : Vector Form
Express in vector form.
The x,y, and z of a vector is represented in the order of i, j, and k, respectively. Use the coefficients of i,j, and k to write the vector form.
Example Question #21 : Linear Algebra
Find the vector form of to
.
When we are trying to find the vector form we need to remember the formula which states to take the difference between the ending and starting point.
Thus we would get:
Given and
In our case we have ending point at and our starting point at
.
Therefore we would set up the following and simplify.
Example Question #25 : Linear Algebra
Find the dot product of the 2 vectors.
The dot product will give a single value answer, and not a vector as a result.
To find the dot product, use the following formula:
Example Question #26 : Linear Algebra
Assume that Billy fired himself out of a circus cannon at a velocity of at an elevation angle of
degrees. Write this in vector component form.
The firing of the cannon has both x and y components.
Write the formula that distinguishes the x and y direction and substitute.
Ensure that the calculator is in degree mode before you solve.
Example Question #1 : Vector Form
Compute: given the following vectors.
and
.
The answer does not exist.
The answer does not exist.
The dimensions of the vectors are mismatched.
Since vector does not have the same dimensions as
, the answer for
cannot be solved.
Example Question #28 : Linear Algebra
What is the vector form of ?
To find the vector form of , we must map the coefficients of
,
, and
to their corresponding
,
, and
coordinates. Thus,
becomes
.
Example Question #1 : Vector
Express in vector form.
In order to express in vector form, we must use the coefficients of
and
to represent the
-,
-, and
-coordinates of the vector.
Therefore, its vector form is
.
Example Question #30 : Linear Algebra
Express in vector form.
In order to express in vector form, we must use the coefficients of
and
to represent the
-,
-, and
-coordinates of the vector.
Therefore, its vector form is
.
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All GRE Subject Test: Math Resources
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