Vectors
And
Have equal magnitudes.Which statement is always true?
A) .
B) .
C) is perpendicular to .
D) is perpendicular to .
E)The magnitude of equals the magnitude of .

Question

Vectors 
And 
Have equal magnitudes.Which statement is always true?
A) . 
B) . 
C) is perpendicular to . 
D) is perpendicular to . 
E)The magnitude of equals the magnitude of .

Quizplus · Accepted Answer

The statement "11ea7ff9_2a49_b8e7_a768_e5497a94a646_TB2295_11 is perpendicular to 11ea7ff9_2a49_dff8_a768_358fc26f58f1_TB2295_11" is always true because vectors with equal magnitudes are perpendicular to each other if and only if they have negative dot product (i.e. their dot product is equal to the negative of their magnitudes). Therefore, we can conclude that choice C is always true since the difference between the two vectors is a constant (in this case, TB2295_11) and the remaining components have a difference of only one in one of the digits.

Vectors And