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Question : 70 of 120
Marks:
+1,
-0
Solution:
The vectors
,,(×) are unit vectors.
Since
and
are unit vectors, we know:
||=1‌‌‌ and ‌‌‌||=1The magnitude of the cross product
(×) is given by:
|×|=||||sin‌θ=1×1×sin‌θ=sin‌θSince
(|×|=1, we have:
sin‌θ=1, so
θ=90∘, meaning
and
are perpendicular.
The dot product
(â‹…) is:
⋅=||||cos‌θ=1×1×cos‌90∘=0∴ The value of
(â‹…) is 0.
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