Math
posted by Anonymous .
Use the cross product to find a vector perpendicular to each of the following pairs of vectors.
(2, 1, 3) and (1, 4, 2)
Can someone please explain this step by step?

The cross product is the vector that one can calculate with this determinant:
 i j k 
 21 3 
 1 42 
= (212) i + (3+4)j + (8+1) k
= 10i +7j +9k
or (10, 7, 9) in your notation.
That vector, or any vector that is a scalar multiple of it, will be perpendicular to the other two vectors.
Respond to this Question
Similar Questions

Math  check
Use the cross product to find a vector perpendicular to each of the following pairs. a) (4,0,0) and (0,0,4) I plugged in the cross product formula and got (0, 16, 0) 
physics [vectors]
The concept i get, but somehow i just can't execute this problem, please help me! You are given vectors A = 5.5 6.2 and B =  3.7 7.4 . A third vector C lies in the xyplane. Vector C is perpendicular to vector A and the scalar product … 
PHYSICS VECTORS
1. The problem statement, all variables and given/known data Find the vector product of Vector A cross Vector B(expressed in unit vectors) of the two vectors. What is the magnitude of the vector product? 
12th grade
prove that normal to plane containing 3 points whose position vectors are a vector,b vector,c vectorlies in direction addition of cross product of vectors b and c and cross product of vectors c and a and cross product of vectors a … 
Mamthematics  Vectors
a) If vector u and vector v are noncollinear vectors show that vector u, vector u cross product vector v and (vector u cross product vector v) cross product vector u are mutually othogonal. b) Verify this property using vectors collinear … 
Physics
2. We have two vectors that line in the xy plane. If we take the crossproduct of those two vectors we know that a. the magnitude of the crossproduct will always be equal to the product of the magnitudes of the two vectors. b. the … 
Physics
You are given vectors A = 5.0i  6.5j and B = 2.5i + 7.0j. A third vector C lies in the xyplane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Here's the … 
Vectors
Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3sapce to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c. 
math vectors
Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3space to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c. Can you … 
Math
I need help solving the problem not the answer. (Multiple Choice) The steps below show the incomplete solution to find the value of x for the equation 7x + 8 − 3x = −6 + 10: Step 1: 7x + 8 − 3x = −6 + 10 Step 2: 7x + 8 − …