1. The positions of three particles a, b, and c in a 3-D Cartesian coordinate system are given by the coordinates (3.0, -3.0, 2.0), (- 3.0, - 1.0, 3.0) , and (1.67, 2.5, 2.0) respectively. The position vectors of each of the Particles are represented as A, B , and Č respectively. (a) Find the position vectors of each of the particles Ả, B , and Č respectively in-unit vectors notation along with their magnitudes. (a) Find the value of Å (B + Č) and also prove that (B + Č) = (Ã · B + À · Č) . (b) Find the value of (A x B) Č.
1. The positions of three particles a, b, and c in a 3-D Cartesian coordinate system are given by the coordinates (3.0, -3.0, 2.0), (- 3.0, - 1.0, 3.0) , and (1.67, 2.5, 2.0) respectively. The position vectors of each of the Particles are represented as A, B , and Č respectively. (a) Find the position vectors of each of the particles Ả, B , and Č respectively in-unit vectors notation along with their magnitudes. (a) Find the value of Å (B + Č) and also prove that (B + Č) = (Ã · B + À · Č) . (b) Find the value of (A x B) Č.
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1. The positions of three particles a, b, and c in a 3-D Cartesian coordinate system are
given by the coordinates (3.0, - 3.0, 2.0), (- 3.0, - 1.0, 3.0) , and (1.67, 2.5, 2.0)
respectively. The position vectors of each of the Particles are represented as Å, B ,
and Č respectively.
(a) Find the position vectors of each of the particles A, B , and Č respectively
in-unit vectors notation along with their magnitudes.
(a) Find the value of Å (B + Č) and also prove that Ả · (B + Č) = (À · B +À· Ċ) .
(b) Find the value of (A × B)· Ċ.
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