Compute the magnitude of the following vectors:

Question 4 of 68beginner🔧 ApplyNumerical1 mark

(i)

a⃗ = î + ĵ + k̂

Answer

$\sqrt{3}$

(ii)

b⃗ = 2î - 7ĵ - 3k̂

Answer

$\sqrt{62}$

(iii)

c⃗ = (1/ $\sqrt{3}$ )î + (1/ $\sqrt{3}$ )ĵ - (1/ $\sqrt{3}$ )k̂

Answer

Explanation

The magnitude of a vector is computed using the formula derived from the position vector concept. For a vector with components (x, y, z), the magnitude equals the square root of the sum of squares of its components.

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