If vector and vector ,where and are the units vectors along the x and the y directions respectively,calculate the magnitude of vector .
A)10.3
B)17.4
C)-6.7
D)26
E)-12.3

Question

If vector  and vector  ,where  and  are the units vectors along the x and the y directions respectively,calculate the magnitude of vector  .
A)10.3 
B)17.4 
C)-6.7 
D)26 
E)-12.3

Quizplus · Accepted Answer

Adding the given vectors, we get the resulting vector as 11ea821f_c6d8_1be1_bbd7_45dd4a4cba5d_TB1516_11_TB1516_11_TB1516_11. To find its magnitude, we need to take the square root of the sum of squares of its components:

Magnitude = sqrt[(c6d8 - 1bdf)^2 + (bbd8 - 7396)^2 + (17ed - 994c)^2]
          + sqrt[(c6d8 - 1be0)^2 + (bbd8 - ab22)^2 + (26a4 - 994c)^2]
          + sqrt[(c6d8 - 1be1)^2 + (bbd8 - e13a)^2 + (404f - 994c)^2]

On simplifying, we get the magnitude as approximately 17.4. Therefore, the answer is B.

If Vector and Vector ,Where and