Two points A and B are given in 3-dimensional space as follows A(4:3:2) and B(-2;0;5) in...

 

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Two points A and B are given in 3-dimensional space as follows A(4:3:2) and B(-2;0;5) in meters. a) Using the position vector of point A, find the angle 0 this vector makes +x direction (finding sin, cos, or tan of the angle is enough) b) Find a unit vector from origin to the midpoint of vector AB A) (A) 0 = cos¹ B) (A) 8 = cos¹ C) (A) 8= cos D) (A) 8 = cos¹ E) (A) 6 = cos¹ √29 √29 √29 21+3j+7k 2√62 21+3j+7k 6√62 21+3j+7k 4√62 11+3j+7k 2√62 11+3j+7k 2√62 (B) = (B) = (B) = (B) = (B) fc = Two points A and B are given in 3-dimensional space as follows A(4:3:2) and B(-2;0;5) in meters. a) Using the position vector of point A, find the angle 0 this vector makes +x direction (finding sin, cos, or tan of the angle is enough) b) Find a unit vector from origin to the midpoint of vector AB A) (A) 0 = cos¹ B) (A) 8 = cos¹ C) (A) 8= cos D) (A) 8 = cos¹ E) (A) 6 = cos¹ √29 √29 √29 21+3j+7k 2√62 21+3j+7k 6√62 21+3j+7k 4√62 11+3j+7k 2√62 11+3j+7k 2√62 (B) = (B) = (B) = (B) = (B) fc =