6. consider the equation . the dimensions of the variables v, x, and t are [l]/[t], [l], and [t], respectively. the numerical factor 3 is v 1 3 zxt 2 a b r +y 6.0 m 8.0 m 23° θ +x +y +x a b 35° 35° 6.0 m 6.0 m (a) dimensionless. what must be the dimensions of the variable z, such that both sides of the equation have the same dimensions? show how you determined your answer.