VectorHard
Question
If vectors 
and 
are perpendicular to each other, then the positive value of a is
and are perpendicular to each other, then the positive value of a is Options
A.zero
B.1
C.2
D.3
Solution
If 
and 
are perpendicular to each other then . = 0
(where vector
and 
)
(
)(
) = 0
a2 - 2a - 3 = 0 ⇒ (a-3)(a+1) = 0
a- 3 = 0 ⇒ a = 3and a = -1
and are perpendicular to each other then . = 0(where vector
and )(
)() = 0a2 - 2a - 3 = 0 ⇒ (a-3)(a+1) = 0
a- 3 = 0 ⇒ a = 3and a = -1
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