Where v is a vector. If v in R3 and v · v = 0, then v is the zero vector. True or false. Explain please.

Determine if the pairs of vectors below are "parallel", "orthogonal", or "neither". a = (-5,5,-5) and b = (-10, 10, 20) are neither a = (-5,5,-5) and b = (-10, 10, -10) are neither a = (-5,5,-5) and b = (25, -25, 25) are neither

Determine whether the vectors are linearly independent. BA -4 -6 2

Find the unit vector in the direction of the given vector. Write your answer in (a) component form and (b) as a linear combination. 15. u = 16. u = (-3,2) 17. u = (-4, –5) 18. u = (3, –4)