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Which of the following are orthogonal pairs?
a. 3i+2j b. i+j c. 2i-3j d. -7i+j
Read Solution (Total 12)
-
- a. 3i+2j
and
c. 2i-3j
are orthogonal pair. - 11 years agoHelpfull: Yes(11) No(5)
- (3i+2j).(2i-3j)=3.2.|i||i|cos0-3.3.|i||j|cos90+2.2.|j||i|cos90-2.3.|j||j|cos0
=6-0+0-6 [where |i|=|j|=1]
=0
as the dot product of two vectors is zero;so they are orthogonal - 11 years agoHelpfull: Yes(9) No(1)
- 3i+2j and 2i-3j is orthogonal pair because it satisfied orthogonality condition i.e x1.x1-y1.y2=0
- 11 years agoHelpfull: Yes(6) No(0)
- two vectors are orthogonal if their dot products are zero.
hence a and c are orthogonal
- 11 years agoHelpfull: Yes(5) No(0)
- options a and c are answer
- 11 years agoHelpfull: Yes(3) No(1)
- ans. a and c because the dot product of two vectors gives ans. zero,,,,so ans. is a.3i+2j and c.2i-3j..are orthogonal.
- 11 years agoHelpfull: Yes(1) No(1)
- Orthogonal Pairs are those Whose dot product is zero.
as (3i+2J).(2i-3j)=0 , since i.i,j.j=1,
Hence a and c pairs.
- 11 years agoHelpfull: Yes(1) No(0)
- a&c are orthogonal pairs because their multiplication gives zero as answer.
- 11 years agoHelpfull: Yes(0) No(0)
- 3i+2j and 2i-3j
- 11 years agoHelpfull: Yes(0) No(0)
- a.3i+2j and
c.2i-3j
are orthogonal pair. - 11 years agoHelpfull: Yes(0) No(0)
- A,C
as multiplication of these vectors yield in 0
which is a condition for two vectors to be orthogonal - 11 years agoHelpfull: Yes(0) No(0)
- two vectors are orthogonal if their dot products are zero.
hence a and c are orthogonal - 11 years agoHelpfull: Yes(0) No(0)
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