If a→,b→ and c→ are non-zero coplanar vectors, such that a→⋅b→=b→⋅c→=0. If |a→|=1 unit and |c→|=6 units. The value of |a→⋅c→|. is _________
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answer is 6.
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Detailed Solution
∵a→⋅b→=b→⋅c→=0It means a→ and b→ are perpendicular to each other. Similarly, b→ and c→ are perpendicular to each other. So, we can say that a→ and c→ are parallel to each other. ∴a→⋅c→=|a∥c|cos0∘=1×6=6 units