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What happens when a vector is multiplied by a scalar?
- a)Its magnitude gets multiplied by that much amount
- b)Its direction rotates in XY plane by that much angle
- c)Its direction rotates in YZ plane by that much angle
- d)Its direction rotates in ZX plane by that much angle
Correct answer is option 'A'. Can you explain this answer?
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What happens when a vector is multiplied by a scalar?a)Its magnitude g...
When a vector is multiplied by a scalar:
Magnitude:
When a vector is multiplied by a scalar, its magnitude gets multiplied by that much amount. This means that the length of the vector is scaled by the scalar value. For example, if a vector has a magnitude of 2 and it is multiplied by 3, the new magnitude of the vector will be 6 (2 x 3 = 6).
Direction:
The direction of the vector remains unchanged when it is multiplied by a scalar. The vector simply gets stretched or shrunk in the same direction without changing its orientation in space. For instance, if a vector is pointing in the positive x-direction and it is multiplied by a scalar, it will still point in the positive x-direction after the multiplication.
Overall effect:
Multiplying a vector by a scalar results in a new vector that has the same direction as the original vector but a different magnitude. This operation is fundamental in vector algebra and is used in various mathematical and physical applications to scale vectors up or down based on a given factor.
Magnitude:
When a vector is multiplied by a scalar, its magnitude gets multiplied by that much amount. This means that the length of the vector is scaled by the scalar value. For example, if a vector has a magnitude of 2 and it is multiplied by 3, the new magnitude of the vector will be 6 (2 x 3 = 6).
Direction:
The direction of the vector remains unchanged when it is multiplied by a scalar. The vector simply gets stretched or shrunk in the same direction without changing its orientation in space. For instance, if a vector is pointing in the positive x-direction and it is multiplied by a scalar, it will still point in the positive x-direction after the multiplication.
Overall effect:
Multiplying a vector by a scalar results in a new vector that has the same direction as the original vector but a different magnitude. This operation is fundamental in vector algebra and is used in various mathematical and physical applications to scale vectors up or down based on a given factor.
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What happens when a vector is multiplied by a scalar?a)Its magnitude g...
Any vector a, can be written as a = 
Hence, when we multiply it by a scalar, the magnitude multiplies by that much amount.
Hence, when we multiply it by a scalar, the magnitude multiplies by that much amount.Attention Grade 10 Students!
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What happens when a vector is multiplied by a scalar?a)Its magnitude gets multiplied by that much amountb)Its direction rotates in XY plane by that much anglec)Its direction rotates in YZ plane by that much angled)Its direction rotates in ZX plane by that much angleCorrect answer is option 'A'. Can you explain this answer?
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What happens when a vector is multiplied by a scalar?a)Its magnitude gets multiplied by that much amountb)Its direction rotates in XY plane by that much anglec)Its direction rotates in YZ plane by that much angled)Its direction rotates in ZX plane by that much angleCorrect answer is option 'A'. Can you explain this answer? for Grade 10 2024 is part of Grade 10 preparation. The Question and answers have been prepared according to the Grade 10 exam syllabus. Information about What happens when a vector is multiplied by a scalar?a)Its magnitude gets multiplied by that much amountb)Its direction rotates in XY plane by that much anglec)Its direction rotates in YZ plane by that much angled)Its direction rotates in ZX plane by that much angleCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Grade 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What happens when a vector is multiplied by a scalar?a)Its magnitude gets multiplied by that much amountb)Its direction rotates in XY plane by that much anglec)Its direction rotates in YZ plane by that much angled)Its direction rotates in ZX plane by that much angleCorrect answer is option 'A'. Can you explain this answer?.
What happens when a vector is multiplied by a scalar?a)Its magnitude gets multiplied by that much amountb)Its direction rotates in XY plane by that much anglec)Its direction rotates in YZ plane by that much angled)Its direction rotates in ZX plane by that much angleCorrect answer is option 'A'. Can you explain this answer? for Grade 10 2024 is part of Grade 10 preparation. The Question and answers have been prepared according to the Grade 10 exam syllabus. Information about What happens when a vector is multiplied by a scalar?a)Its magnitude gets multiplied by that much amountb)Its direction rotates in XY plane by that much anglec)Its direction rotates in YZ plane by that much angled)Its direction rotates in ZX plane by that much angleCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Grade 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What happens when a vector is multiplied by a scalar?a)Its magnitude gets multiplied by that much amountb)Its direction rotates in XY plane by that much anglec)Its direction rotates in YZ plane by that much angled)Its direction rotates in ZX plane by that much angleCorrect answer is option 'A'. Can you explain this answer?.
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What happens when a vector is multiplied by a scalar?a)Its magnitude gets multiplied by that much amountb)Its direction rotates in XY plane by that much anglec)Its direction rotates in YZ plane by that much angled)Its direction rotates in ZX plane by that much angleCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for What happens when a vector is multiplied by a scalar?a)Its magnitude gets multiplied by that much amountb)Its direction rotates in XY plane by that much anglec)Its direction rotates in YZ plane by that much angled)Its direction rotates in ZX plane by that much angleCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of What happens when a vector is multiplied by a scalar?a)Its magnitude gets multiplied by that much amountb)Its direction rotates in XY plane by that much anglec)Its direction rotates in YZ plane by that much angled)Its direction rotates in ZX plane by that much angleCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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