Find u ? v for the two vectors given. Round your answer to three decimal places.A vector u of length 2 pointing 45° to the left of the positive y-axis and a vector v of length 9 pointing 15° to the right of the negative y-axis.
A. -15.588
B. -9.526
C. -12.728
D. -17.387
Answer: A
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Determine whether the pairs of lines are parallel, intersect at a single point, or are skew. If the lines are parallel, determine whether they are the same line (and thus intersect at all points). If the lines intersect at a single point, determine the point of intersection.r = (3, 1, 4) + t(-1, 6, -2); R = (-6, 55, -14) + t(5, -30, 10)
A. The lines intersect at a single point, .
B. The lines are parallel, distinct lines.
C. The lines are the same line.
D. The lines are skew.
Find the sum.Find the sum of the first 90 terms of the arithmetic sequence: 1, 3, 5, 7, . . .
A. 8010 B. 8006 C. 8104 D. 8100
Factor by grouping.10x6 - 8x3 - 25x3 + 20
A. (2x6 - 5)(5x - 4) B. (2x3 + 5)(5x3 + 4) C. (2x3 - 5)(5x3 - 4) D. (10x3 + 5)(x3 + 4)
Solve.6(y + 5) = 7y + 30
A. 60 B. 0 C. 30 D. -30