All GRE Subject Test: Math Resources
Example Questions
Example Question #21 :Linear Algebra
Calculate the dot product of the following vectors:
Write the formula for dot product givenand.
Substitute the values of the vectors to determine the dot product.
Example Question #1 :Vector Form
Expressin 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
Expressin 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 #1 :Vectors & Spaces
Find the vector form ofto.
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:
Givenand
In our case we have ending point atand our starting point at.
Therefore we would set up the following and simplify.
例子问题# 4:Vector Form
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 #5 :Vector Form
Assume that Billy fired himself out of a circus cannon at a velocity ofat an elevation angle ofdegrees. 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 #6 :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 vectordoes not have the same dimensions as, the answer forcannot be solved.
Example Question #1 :Vector Form
What is the vector form of?
To find the vector form of, we must map the coefficients of,, andto their corresponding,, andcoordinates. Thus,becomes.
Example Question #8 :Vector Form
Expressin vector form.
In order to expressin vector form, we must use the coefficients ofandto represent the-,-, and-coordinates of the vector.
Therefore, its vector form is
.
Example Question #9 :Vector Form
Expressin vector form.
In order to expressin vector form, we must use the coefficients ofandto represent the-,-, and-coordinates of the vector.
Therefore, its vector form is
.
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