How Can I Solve These Vector Problems for My Homework?

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To solve the vector problems, the first task is to find a vector in the yz-plane that is perpendicular to A=7i + 3j - 6k, which involves using the property that the dot product of two perpendicular vectors equals zero. For the second problem, it is important to demonstrate that the magnitude of the vector product of two vectors corresponds to the area of the parallelogram formed by those vectors. Understanding the properties of vectors, particularly the scalar product and vector product, is crucial for these solutions. The discussion emphasizes the need for clear, step-by-step solutions to grasp these concepts effectively.
Aleksandar
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Can someone help me with the following questions for homework?

1. Consider the vector A=7i + 3j - 6k. Find the most general vector in the yz-plane that is perpendicular to A.
2. Show that the magnitude of the vector product of two vectors is the area of the parallelogram for which the two vectors form adjacent sides.

Help me, I'm desperate. They might be easy, but I've tried and its no use. If you can solve this problems somehow with full solutions. PLEASE

You can also e-mail me on:
ikkakumon100@yahoo.com
 
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Hint regarding 1: What does the scalar product of two perpendicular vectors equal?
 
Scalar product of two perpendicular vectors equals zero, right?, since cos(alpha) of 90 degrees is zero, therefore it should equal to zero.
 
I guess I have forgotten many things about vectors, including their properties. So if the dot product of two perpendicular vectors would equal zero, how can that help figure out the most general vector in the yz-plane that is perpendicular to that vector A, in the previous post given.
 

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