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Question
If →A=^iA cosθ+^jA sinθ, then another vector →B which is orthogonal to →A can be expressed as:
If →A=^iA cosθ+^jA sinθ, then another vector →B which is orthogonal to →A can be expressed as:
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Solution
The correct option is B ^iB sinθ−^jB cosθ
Two vectors are said to be orthogonal when their dot product is zero.
→A=^iA cosθ+^jA sinθ [use option to reduce time]
From option (b) ^iBsinθ−^jB cos θ
→A.(→B)=AB sinθcosθ−AB sinθcosθ=0
Two vectors are said to be orthogonal when their dot product is zero.
→A=^iA cosθ+^jA sinθ [use option to reduce time]
From option (b) ^iBsinθ−^jB cos θ
→A.(→B)=AB sinθcosθ−AB sinθcosθ=0
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