Solution: Determine the magnitude of the vector sum |A + B| at coordinates (3, 2, 1)

Given the 3-dimensional vectors: A = i(xy) + j(2yz) + k(3zx) B = i(yz) + j(2zx) + k(xy) Determine the magnitude of the vector sum |A + B| at coordinates (3, 2, 1).

Determine the magnitude of the vector sum |A + B| at coordinates (3, 2, 1)

Problem Statement: EE Board March 1998

Given the 3-dimensional vectors:

A = i(xy) + j(2yz) + k(3zx)

B = i(yz) + j(2zx) + k(xy)

Determine the magnitude of the vector sum |A + B| at coordinates (3, 2, 1).

  • A. 32.92
  • B. 29.92
  • C. 27.20
  • D. 24.73

Problem Answer:

The magnitude of the vector sum |A + B| at coordinates (3, 2, 1) is 29.92 units.

Solution:

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