If a = i+ 8j + k and b = i+ 9j + k, find a unit vector with positive first coordinate orthogonal to both a and b. k i+
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- given the vector v=i+2j+k what is the angle between v and the xaxisVector A = (8, 4, -5) and Vector B = (-2, 3, 0). Find the angle between these two vectors.A vector has a magnitude of 30 and a direction of 40°. Another vector has a magnitude of 70 and a direction of 130°. What are the magnitude and direction of the resultant vector? Round the magnitude to the thousandths place and the direction to the nearest degree. a 69.504; 73° b 76.158; 73° c 69.504; 107° d 76.158; 107°
- Two vectors, r and s lie in the xy plane. Their magnitudes are 4.58 and 8.82 units, respectively, and their directions are 304° and 76.0°, respectively, as measured counterclockwise from the positive x axis. What are the values of (a) r and (b) T x 3? (a) Number i -27.03 Units (b) Number i 30.02 UnitsGiven A = 5.00i + 4.00j, B = 3.00j – 7.00k. Find the vector C = 2A - B %3D %3D O + 4i – 10j – 7k O- 10j + 11k O 10i + 5j + 7k O + 8i + 7k O-7i - 8j + 14k 885 BBB 36 24 KConsider two vectors A and B. À = 13î + 15ĵ and B = 16i – 18) Find the unit vector that points in the same direction as the vector A + 2B. Write the unit vector in the form VN (Ui + U) N = Uj = U; = 31% 64°F
- Consider two vectors, A, which points along the +x direction with a magnitude of 3 units andvector B, which points 20o from the +y axis with a magnitude of 4 units as shown in Figure 1.a) Find the magnitude of the vector, B − A.b) Find the vector C so that A + B + C = 0.Two vectors are given by a = 9.01 + 8.0 and B b = 6.7î + 2.6ĵ. Find (a) a × b, (b) à · b, (c) a + b). b, and (d) the component of a along the direction of b? (a) Number i (b) Number (c) Number (d) Number i i i Units Units Units UnitsConsider two vectors A and B. A = 11 + 133 and B = 14 - 16 Find the unit vector that points in the same direction as the vector A + 2B. Write the unit vector in the form (U‚Î + U‚ĵ) N = U₁ =