Exam 3: Vectors

Vector A points horizontally toward the right of the paper. Vector B points perpendicular to the plane of the paper and toward the reader. The direction of A $\times$ B is

The dot product between vector A and vector B is 1, and the cross product between the two vectors is 2k. The angle between the two vectors

If A = 2i + j - k, B = 2i - 3j + 3k, R = i - j + 4k, and A + B + C = R, then C is

If A, B, and C are nonzero vectors, the quantity A · B $\times$ C cannot be

Consider the vector A = 2i + 5j. Vectors perpendicular to A include

The dot product of a cross product of three vectors A·(B $\times$ C) represents

All of the following combinations of vectors A, B, and C are scalars except

If A = 2i - 2j + k, B = i + 2j + 2k, and C = - i + 2j + k, the area of a parallelepiped whose edges are defined by the vectors A, B, and C is

All of the following combinations of vectors A and B are themselves vectors except

If A = -2i - 4j + 4k, B = i + 2j - 2k, and C = 2i - 3j + 2k, then A·(B $\times$ C) is

Consider two vectors A and B. |A $\times$ B| = |A| |B|. This implies that

If A = 2i + 3j, and B = 2j + 3k, then |A $\times$ B| is equal to

Let vector A = -2i - j + 2k. The unit vector parallel to vector A is

If A = 2i + 2k and B = i + j, the angle between vector A and vector B is

A person walks one block north, two blocks west, and then two blocks northwest. The magnitude and direction of the resultant are

If A = i + 2j and B = 2i - j, the angle between vectors A and B is

The properties of a vector include

If A = i + 3j and B = 3i + j, the angle between vector A and vector B is