Flag Vectors> If a X b= c X d and a X c= b X d then the...
question mark

If a X b= c X d and a X c= b X d then the vectors a-d and b-c are:
a)non-collinear
b)linearly independent
c)perpendicular
d)parallal
Please explain how to approach these type of quesions

Ayush Patel , 9 Years ago
Grade 12th pass
anser 1 Answers
Riddhish Bhalodia

Last Activity: 9 Years ago

subtracting the two we have
a \times (b-c) = (c-b) \times d = - (b - c) \times d = d \times (b-c)
hence
(a-d) \times (b-c) = 0
hence for such a situation to occur the vectors a-d and b-c are parallal
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