If = 2î + ĵ + k̂ and = î + 2ĵ + k̂, then the magnitude of their resultant is:

Question

Question

Answer 1

Concept:

The magnitude of a vector = a₁î + a₂ĵ + a₃k̂ is given as .

The magnitude of the sum of vectors and can also be calculated as .

The resultant of a set of vectors acting at a point is simply the algebraic sum of the vectors.

Calculation:

The resultant of the vectors = 2î + ĵ + k̂ and = î + 2ĵ + k̂ is:

= (2î + ĵ + k̂) + (î + 2ĵ + k̂) = 3î + 3ĵ + 2k̂

Now, .