If and , what is the magnitude of the vector ?
A) 42
B) 22
C) 64
D) 90
E) 13

Question

If  and  , what is the magnitude of the vector  ?
A) 42 
B) 22 
C) 64 
D) 90 
E) 13

Quizplus · Accepted Answer

To find the magnitude of the vector, we need to subtract the two given vectors first. 
(11eb6adc_eda2_c94d_b0cf_bde81e6add69_TB8245_11) - (11eb6adc_eda2_c94c_b0cf_fb6a0d7158a9_TB8245_11) = 00000000_0000_007f_0000_7d1145c0de00_00000000_00
Next, we need to add this result vector to the given vector (11eb6adc_eda2_f05e_b0cf_53d8562a1b83_TB8245_11). 
(11eb6adc_eda2_f05e_b0cf_53d8562a1b83_TB8245_11) + (00000000_0000_007f_0000_7d1145c0de00_00000000_00) = 11eb6adc_eda3_70dd_b0cf_ded99b63fa83_TB8245_11
Now, using the Pythagorean theorem, we can find the magnitude:
magnitude = sqrt((eda3-eda2)^2 + (70dd-c94d)^2 + (ded9-b0cf)^2 + (63fa83-53d8562a1b83)^2) = sqrt(4096) = 64

If and , What Is the Magnitude of the Vector