Find the indicated cross product.v = -4i - 3j - 4k, w = 4i + 2j + 5kFind v × w.

A. 4i + 7j - 4k
B. -7i + 4j + 4k
C. 2i + 4j + 4k
D. -23i + 36j - 20k


Answer: B

Mathematics

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Solve the problem.Given that the polar equation r = a(1 - e2)/(1 + e cos ?) models the orbits of planets about the sun, estimate the closest approach of a planet for which  and  to the sun.

A. 9 astronomical units B. 33 astronomical units C. 17 astronomical units D. 23 astronomical units

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Find the exact length of the line segment shown int he figure. Approximate this length to two decimal places when appropriate.

A.  ? 8.60
B. 7
C. 8
D.  ? 8.19

Mathematics

For the given functions f(x) and g(x), find (f ? g)(x) or (x) as indicated.f(x) = x2 + 8x + 12, g(x) = x + 6Find (x).

A. x2 + 2 B. x3 - 6 C. x + 2  D. x - 6 

Mathematics

Solve the following equation. ? ?

A. ?
B. ?
C. ?
D. ?
E. ?

Mathematics