(3) For what value(s) of a will the vectors u = 2i + 4j-5k and v= -4i-8j + ak be parallel? V ا ) وہ کو ں کی
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- The unit vector (1,0,0) is initially on the x-axis. If it is rotated in the positive xz direction by the alpha angle and at the same time rotated in the positive xy direction by the beta angle, how is the new vector defined?Where x_nul = (-1, -1, 1, -2, 0) <- a vector. (if this is not right, please use your own result)2. Find two unit vectors orthogonal to both (3, 2, 1) and (−1, 1, 0) .
- q1 plz provide handwritten solution for this asap but The vector x should be (1, 2, -1, 1) not (1,2,1,1).Evaluate The Work Done By The Force Vector, F= (6x^2+3y)I – 15yzj + 10x^2zk From (0,0,0) To (1,1,1) Along The ff Paths In Space if the straight line joining (0,0,0) and (1,1,1)How do I show that the vectors (1, 2), (0, 1), (-3, 4) are not linearly independent?
- find a vector parametrization for the line with thegiven description. Passes through (1, 1, 1) parallel to the line through (2, 0, −1) and(4, 1, 3)If a charged particle of charge q� is travelling with a velocity v� in a magnetic field B,�, then the force that that charged particle feels is given by F=qv×B.�=��×�. In this case, the force F� is also a vector quantity, since it has both a magnitude and a direction. So the cross product plays an important role in physics and engineering. Now suppose that a proton with some positive charge q� is traveling in the xy��-plane with a velocity in the direction of the vector v=⎛⎝⎜3−20⎞⎠⎟�=(3−20) and that the magnetic field B� is a uniform field pointing straight up in the z� direction, perpendicular to the xy��-plane. Then the direction of the force that the moving proton feels is in the directionSuppose L(5, 4) was reflected across the line y = x then translated along the vector <4, 0>. What is the y-coordinate of L''?