1. Find the rotation matrix of point P if its frame {B) is rotated by 50 degrees about Y-axis relative to frame {A).
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- Let R correspond to a right-hand rotation of angle about the x3-axis. (a)Find the matrix of R². (b)Show that R² corresponds to a rotation of angle 20 about the same axis. (c)Find the matrix of R" for any integer n.Determine the rotation matrix for the following rotation of 900 about X axis rotation of 900 about Y axis, rotation of 450 about Z axisWhich are the Matrices of a vector?
- N value (x,y,z): 10,14,17 In case you can't read the given values on the picture: B: (6,7,8) C: (5,12,13) Find: 4. What is the resultant of vectors of AB and AC. Express resultant in rectangular form. 5. Let R be the resultant vector of vectors AB and AC, what is the measurement of the angle from the positive x-axis, y-axis and z-axis to the line of action of the resultant vector? Express the answer in deg. unit. 6. What are the unit vectors that are orthogonal to the plane where vectors AB and AC lie and at the same time passes at point A? Express these two vectors in rectangular vector form.In a design, a line is constructed by connecting PO(2,2,2) and P1(6,6,11), and point P2(2,3,13) is defined. If point P2 is rotated about the axis POP1 anti clockwise by 60 degrees. Find the coordinate of the point P2 at the new location and verify your result by using SolidWorks. X Xp Z Z₂ 0 P P₂ Y₁ 5 P₁5) A = 2i+3j+5k and B = 3i+6k, Determine the unit vector of (AXB).
- Find the product of matrix A and matrix B. (AxB)a. What is the position vector that starts at -50j and ends at 50 j? b. What is the position vector that starts at (-50 i - 20 j +10 k) lb and ends at (50 i + 20 j -10 k) lb c. What is the resultant sum of the moments in Cartesian vector form? Round your entries to the nearest whole number.Determine the following: 1. The position vector of point B with respect to point A: rBA = ( i + j + k)m 2. The unit vector in the direction of vector F: u = ( i + j + k) Express your results using three significant figures.
- If vector A =yi-xj+zk the curial of vector A is -2k O 2k O -2jO -2iIn your Cartesian plane find and connect the following points: (3,0) (0,6) (-4,-3)Can i have the method in vector mathematics 1.) On a three-dimensional cartesian plane, there are points A[ 1 1 0 ], B[ 1 10.713 0], C[ 5.156 1 0], and D[ 1 2.841 4.221]. Determine the x-component of vector AB. Find the resultant.