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- What are pseudo vectors? Why are they called axial vectors?7. Position vectors of two particles, A and B are given: A = 31 + 4j + 5k meters B = -4i + 2j - 7k meters Vector C is the position vector of particle C that is the cross product of vectors A and B (C = A x B). Together, particles A, B, and C become vertices of a triangular plane in space. What is the area of the triangle that is formed by the three particles?If the vectors A = 6i + dj + 4k and B=i-j+k are perpendicular (alai).What is the value of d? O there is no answer O 6 O 15 O 11 O10
- Q2 Compute the curl of the vector field F(r, o,0) =re,+ cot o ee in spherical coordinates.A- Find a vector A in 3D Cartesian coordinates, which its magnitude is 6 units and makes equal angles with all axes.The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. A. What is the xcomponent of A→? B.What is the y component of A⃗ ? C.What is the y component of B⃗ ? D.What is the x component of C⃗ ? E. In ordered pair notation, write down the components of vector B⃗ F. In ordered pair notation, write down the components of vector D G.What is true about B⃗ and D⃗ ? They have different components and are not the same vectors. They have the same components but are not the same vectors. They are the same vectors.
- LL Axax = B x ax; (d) A C = BC and Ax C = B x C where C is any vector except C = 0. 29 ax Express the unit vector a, in spherical components at the point: (a) r = 2, 0 = 1 rad, p = 0.8 rad; (b) x = 3, y = 2, z = -1; (c) p = 2.5, p = 0.7 rad, z = 1.5. 1.30 Consider a problem analogous to the varying wind velocities encountered by5.QI: Find the cross praduct of the given two vectors: X-Si+6j+2k and Y=i+j+k
- Q3: Express the vector A = 2√3i+ 3√3j-2√2k in the primed triad i'j'k' in which x'y'-axes are rotated about z-axis (which coincides with the z'-axis) through an angle of 30º.Q1: Show that the force vector D = (2î - 4ĵ + k) is orthogonal to the force Vector G = (3î + 4j + 10k) ?Q1/what is the angle between two vectors? A = (3i + 6j + 9k) B = (2i + 4j + 8k)