Given three vectors A-a,+2a, +3a, B-3a,+4a,+5a, and C-2a,-2ay +7a, compute (a) the scalar product...
2.24 Given vectors A = 2a, + 4a, + 10a, and B =-5a, + аф-3a, find (a) A + B at P(0, 2,-5) (b) The angle between A and B at P (c) The scalar component of A along B at P
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Q1. Given the points A: (0,0,2), B: (3,0,2), C: (1,2,1), and D: (2, 1,4 a) Find the cross product v - AB x AC. b) Find the equation of the plane P containing the triangle with vertices A, B, and C c) Find u the unit normal vector to P with direction v d) Find the component of AD over u and the angle between AD and u, then calculate the volume of the parallelepiped with edges AB, AC, AD...
Full answers and working out please. B -B (A+B) (B+A) (A-B) B FIGURE 1.3 FIGURE 1.4 (1) Addition of two vectors. Place the tail of B at the head of A; the sum, A+B, is the vector from the tail of A to the head of B (Fig. 1.3). (This rule generalizes the obvious procedure for combining two displacements. Addition is commutative: A+B=B+A; 3 miles east followed by 4 miles north gets you to the same place as 4 miles...
please show steps The Scalar Product The vectors A and B are given by A = 1 + 3j and B = -1i + 13 (a) Determine the scalar product AB. SOLUTION Conceptualize There is no physical system to imagine here. Rather, it is purely a mathematical exercise involving two-Select- Categorize Because we have a definition for the scalar product, we categorize this example as --Select problem. Substitute the specific vector expressions for A and B A B - (11...