Question

 

a. The plane x = 2 is

	a) parallel to the yz-plane
	b) parallel to the xz-plane
	c) parallel to the xy-plane
	d) none of the above

b. Which of the following vectors is not perpendicular to vector u =(-5, 2, 1)?

	a) v = (3, 7, 1)
	b) v = (-2, -10, 10)
	c) v = (1, 2, 1)
	d) v = (4, 5, 8)

c.Given unit vectors i, j and k, 2j × 3k=

	a) -5i
	b) 5i
	c) -6i
	d) 6i

d. If Car A is travelling north at 50 km/h and Car B is travelling south at 60 km/h, the velocity of Car A relative to Car B is

	a) 110 km/h north
	b) 10 km/h north
	c) 110 km/h south
	d) 10 km/h south

e. Given three vectors, u, v, and w, if u • (v × w) = 0, what geometrical result can be concluded?

	a) u, v, and w are mutually perpendicular
	b) u, v, and w are on the same plane
	c) v, and w, are parallel, and both are perpendicular to u
	d) One of u, v, or w must be 0.

f. The plane (x, y, z) = (4, 2, 1) + s(1, 1, -2) + t(2, -1, 3), converted into scalar form, has equation

	a) 4x + 2y + z - 5 = 0
	b) 2x - y - 6z = 0
	c) 3x + z - 13 = 0
	d) x - 7y - 3z + 13 = 0

Answer 1