ویکٹر فیلڈ میں ایک نقطہ پر ویکٹر کا انحراف _____ مقدار ہے۔
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A. Both A and B
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B. A scalar
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C. A vector
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D. None of these
Explanation
- Divergence of a vector field measures the rate at which a vector spreads out from a point, resulting in a scalar value.
- It is computed as the dot product of the del operator (∇) with the vector field, producing a single numerical value at each point.
Explanation
The magnitude of i · (j × k) is:
This is a scalar triple product, and for standard unit vectors:
i · (j × k) = 1
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A. 65
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B. 89
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C. None of these
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D. 80
Explanation
To find the divergence, calculate:
div(f) = ∂/∂x (3x^2) + ∂/∂y (5xy) + ∂/∂z (xyz^3)
= 6x + 5x + 3xyz^2
At (1, 2, 3):
div(f) = 6(1) + 5(1) + 3(1)(2)(3)^2
= 6 + 5 + 54
= 65
نال ویکٹر کی نمائندگی کی جاتی ہے؟
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A. one(1)
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B. none
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C. zero (0)
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D. two(2)
Explanation
A zero Vector or null vector is a vector that has zero magnitude and an arbitrary direction.
It is represented by 0.
ND18-9-2023
✅ Correct: 0 |
❌ Wrong: 0 |
📊 Total Attempted: 0
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