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A vector, 5 units from the origin, along the X axis, is added to vector 2 units from the origin along the Y axis. What is the resultant vector?
- a)3î + 8ĵ
- b)5î + 2ĵ
- c)2î + 5ĵ
- d)2î + 7ĵ
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A vector, 5 units from the origin, along the X axis, is added to vecto...
The vector 5 units from the origin and along X axis is 5î. The vector 2 units from the origin and along Y axis is 2ĵ. Hence the sum is 5î + 2ĵ.
Most Upvoted Answer
A vector, 5 units from the origin, along the X axis, is added to vecto...
To find the resultant vector, we can add the x-components and the y-components separately.
The vector along the X-axis has an x-component of 5 and a y-component of 0.
The vector along the Y-axis has an x-component of 0 and a y-component of 2.
Adding the x-components, we get 5 + 0 = 5.
Adding the y-components, we get 0 + 2 = 2.
So the resultant vector has an x-component of 5 and a y-component of 2.
Thus, the resultant vector is (5, 2).
The vector along the X-axis has an x-component of 5 and a y-component of 0.
The vector along the Y-axis has an x-component of 0 and a y-component of 2.
Adding the x-components, we get 5 + 0 = 5.
Adding the y-components, we get 0 + 2 = 2.
So the resultant vector has an x-component of 5 and a y-component of 2.
Thus, the resultant vector is (5, 2).
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A vector, 5 units from the origin, along the X axis, is added to vector 2 units from the origin along the Y axis. What is the resultant vector?a)3î + 8b)5î + 2c)2î + 5d)2î + 7Correct answer is option 'B'. Can you explain this answer?
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