Determine whether the following statement is true or false using a proof or counterexample. Assume that u, v, and w are nonzero vectors in ?3.u × (v - w) = (u × w) - (u × v)

What will be an ideal response?


(Answers may vary.) False. Let u = , v = , w = . Then u × (v - w) = , but 
(× w) - (u × v) =  .

Mathematics

You might also like to view...

Fill in the blank with one of the words or phrases listed below. Some words may be used more than once.     = original price - amount of discount.

A. Total price B. Sales price C. Amount of discount D. Sales tax

Mathematics

Tell whether the statement is true or false.Some real numbers are integers.

A. True B. False

Mathematics

Graph the absolute value function. State the domain and range.f(x) =  + 6

A. Domain: (-?, ?); Range: [+6, ?)

B. Domain: (-?, ?); Range: [0, ?)

C. Domain: (-?, ?); Range: [+6, ?)

D. Domain: (-?, ?); Range: [+6, ?)

Mathematics

Factor completely, or state that the polynomial is prime.x3 - x2 - 20x

A. x(x + 4)(x - 5) B. (x2 + 1)(x - 20) C. x(x + 5)(x - 4) D. prime

Mathematics