Question

# The pairs each determines a plane. Then the planes are parallel if

Hint:

### We are given two pairs of the vectors. They both make planes. We have to find their relation when the planes are parallel to each other.

## The correct answer is:

### The given pairs of the planes are

When two vectors make up a plane, their cross product gives normal of the plane. Cross product is a vector product of the two vectors.

If two planes are parallel their normal will be parallel.

The normal of the first plane is

The normal of the second plane is

When two planes are parallel their cross product is zero.

So,

This is the required answer.

Cross product of two vectors is equal to the product of their magnitudes and sin of the angle between them. When two vectors are parallel, the angle between them is zero resulting their dot product as zero.

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