(b) use the right-hand rule to decide whether the components of a × b are positive, negative, or 0.

(a)

Given:  

is in xy plane and is in the direction of k.

|a|=6 units, |b|=3 and θ = 90°

|a × b| = |a| × |b| sinθ  

          = |a| × |b| sin90°  

          = 6 × 3 × 1  

|a × b| = 18  

(b)

Let

is perpendicular to both .

In this case,

x-component of is positive.

y-component of is negative.

z-component of is zero.

question:

could we have options?

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.