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- Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. What is the angle between v and w in degrees?1. Vector A is along the x-axis and vector B makes an angle with the z-axis. The magnitude of A - B is (a) A - B cos 0 (b) A - B sin 0 (c) √A²-B² (d) (A - B sin 0)2 + B² cos²0) (e) (A - B cos 0)² + B² sin² 0)The total surface area of the United States is 9.6 x 106 km². Seventy-four percent of this land can support spiders. Given that there are approximately 5.0 × 104 spiders per acre, how many spiders are there in the Uni d States? Recall that 1 acre = 0.004 km2. Number i 8.75 *10^13 Units sniders
- 10) A certain vector in the xy plane has an x component of 4[m] and a y component of 10[m]. Without changing its length, the vector is rotated in the xy plane until its x component is doubled. Its new y component is about: A) 20 [m] B) 7.2 [m} C) 5.0 [m] D) 4.5 Įm] E) 2.2 [m]What is the dot product of two vectors A = 2x + 4 y + 7z and B = -3x + 8y - 2 z where it is understood that A and B are 3 dimensional vectors, and x, y, and z are vectors of length 1 along the x, y, and z axes. A scalar +12 A scalar +16 A vector perpendicular to both A and B A vector 6x +32y -14z