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Given the vector A = (cos x)(cos y)âx + (cos x)(cos y) ây, âx & ây denote unit vectors along x,y directions respectively. The curl of A is ________.
  • a)
    (cosx cosy - sinx siny) ) âx 
  • b)
    (- sinx cosy + cosx siny) âz
  • c)
    (sinx cosy - cosx siny) âz
  • d)
    (- sinx cosy + cosx siny) ây
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Given the vector A = (cos x)(cos y)ax+ (cos x)(cos y) ay,ax& ayden...
Concept:
Let 
The curl of A is evaluated as:
Given
Ax = cos x cos y
Ay = cos x cos y
Az = 0
∇ × A = (- sinx cosy + cosx siny) âz
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Most Upvoted Answer
Given the vector A = (cos x)(cos y)ax+ (cos x)(cos y) ay,ax& ayden...
The given vector is A = (cos x)(cos y)ax + (cos x)(cos y)ay.

To find the components of the vector A, we can separate the terms involving ax and ay:

A = (cos x)(cos y)ax + (cos x)(cos y)ay
= (cos x)(cos y)(ax + ay)

Therefore, the x-component of vector A is (cos x)(cos y) and the y-component of vector A is also (cos x)(cos y).
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Community Answer
Given the vector A = (cos x)(cos y)ax+ (cos x)(cos y) ay,ax& ayden...
Concept:
Let 
The curl of A is evaluated as:
Given
Ax = cos x cos y
Ay = cos x cos y
Az = 0
∇ × A = (- sinx cosy + cosx siny) âz
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Given the vector A = (cos x)(cos y)ax+ (cos x)(cos y) ay,ax& aydenote unit vectors along x,y directions respectively. The curl of A is ________.a)(cosx cosy - sinx siny) ) axb)(- sinx cosy + cosx siny) azc)(sinx cosy - cosx siny) azd)(- sinx cosy + cosx siny) ayCorrect answer is option 'B'. Can you explain this answer?
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