Let = (1 m) + (2 m) + (2 m) and = (3 m) + (4 m) .The angle between these two vectors is given by:

Question

Let  = (1 m)  + (2 m)  + (2 m)  and  = (3 m)  + (4 m)  .The angle between these two vectors is given by:

Quizplus · Accepted Answer

Let's first find the magnitude of each vector: ||11eab079_96a2_6da7_a51f_13556fb44014_TB6585_11|| = √(1^2 + 2^2 + 2^2) = 3 ||11eab079_96a2_94bb_a51f_2fa937b03052_TB6585_11|| = √(3^2 + 4^2) = 5 Now let's find the dot product of the two vectors: 11eab079_96a2_6da7_a51f_13556fb44014_TB6585_11 · 11eab079_96a2_94bb_a51f_2fa937b03052_TB6585_11 = (1)(3) + (2)(4) + (2)(0) = 11 Using the formula for the angle between two vectors, we have: cosθ = (11) / (3)(5) cosθ = 11/15 Therefore, the answer is D, cos^-1(11/15).

Let = (1 M) + (2 M)