Question

Hello

Answer 1

Not sure how to solve this.

Answer 2

hint: cross product

Answer 3

is it simply a x b ?

Answer 4

well that's the notation used, but there's more to it. Are you familiar with cross products with vectors?

Answer 5

yes, I use this shortcut where you write the components twice then do this weird thing.

Answer 6

Yes, find the cross product of vectors a and b. The result will be perpendicular to both vectors a and b.

Next, find the unit vector, vector u, stemming from that perpendicular vector.

Proper notation for this unit vector is\[\frac{ u }{ |u| }\]

Answer 7

Please show your work.

Answer 8

Example: a unit vector in the direction of <1,2,3> is \[\frac{ <1,2,3> }{ \sqrt{1^2+2^2+3^2} }\]

Answer 9

It would be easier to show you than explain.

i+3j+k
j+2k

1 3 0 1 3 0
0 1 2 0 1 2

So I erase the last two rows so its

3 0 1 3
1 2 0 1

Then I cross:

(3)(2)-(0)(1)=5
(0)(0)-(1)(2)=-2
(1)(1)-(3)(0)=-2

so my answer would be (5, -2, -2)

Does this work?