Find a vector orthogonal to both u and v.

Question

Use the given vectors u, and v to find the expression.

u = 2i - 3j + k and  v = -3i + 3j + 2k

Find a vector orthogonal to both u and v.

Answer 1

Step 1:

The vectors are .

The cross product is orthogonal to both .

Find .

The cross product of two vectors , that is,

.

Step 2:

The vectors are .

Here,  .

The vector is orthogonal to both .

Solution :

The vector is orthogonal to both .