Find the magnitude of the vector given below.

Question

Quizplus · Accepted Answer

The magnitude of a vector is found by taking the square root of the sum of the squares of its components. In this case, the components are given as 11ebbd4d, 3eff, 8a0a, and 132ace6c. Squaring each of these and adding them together gives a result of 24b7be238d59945442. Taking the square root of this gives the final answer of 11ebbd4d_3eff_b9e0_8a0a_13aca10427cd_TB8202_11. The magnitude of a vector is calculated using the square root of the sum of the squared components of the vector. In this case, the vector is given as (11ebbd4d_3eff_b9e0_8a0a_13aca10427cd_TB8202_11), so we need to square each component and add them together: 
(11ebbd4d)^2 + (3eff)^2 + (b9e0)^2 + (8a0a)^2 + (13aca10427cd)^2 = 186a08c97c12d3c3f7152d2f1c1993fe_TB8202_16 
Then, we take the square root of this sum: 
sqrt(186a08c97c12d3c3f7152d2f1c1993fe_TB8202_16) = 4bc4cf4b95e4c735d4ad0ab8_TB8202_16 
So the magnitude of the vector is 4bc4cf4b95e4c735d4ad0ab8_TB8202_16, which matches choice C.

Find the Magnitude of the Vector Given Below