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1. the drawing on the left shows two vectors A and B, and the drawing on the right shows their components. The scalar components of these vectors are: When the vectors A and B are added, the resultant vector is R, so that RAB. What are the x– and y-components of R?
2. the displacement vectors A and B, when added together, give the resultant vector R, so that RAB. Use the data in the drawing to find the magnitude R of the resultant vector and the angle q that it makes with the +x axis. In the first question as you can see that the X components (Ax and Bx being equal and opposite will cancel each other and therefore the X com ponent of the resultant is zero.

The Y components will add up and therefore the Y component of resultant = 3.4+3.4 = 6.8 m and this itself is the magnitude of the resultant as the X components have canceled out.

Hnit for Answer to the second question 1. Sivaraman says:

R^2=A^2+B^2+2ABcosθ
θ is the angle between the vectors
For the second question use θ = 90+23 =113

2. Zeen says:

θ is the angle between the vectors. ie; between A and B. Why you took this 90+23???

1. admin says:

Angle must be taken between the directions of the vectors.

2. admin says:

The vectors are given in blue colour, if you extend them, the angle between their directions can be found to be 90+23 =113

1. Zeen says:

Sir, Can u explain it with the help of a figure? So that i can understand the concept more clearly.

3. Zeen says:

Also the answer is to be found out using resolving, we dont have the formula used by Mr. sivaraman (in syllabus).

1. Zeen says:

Thanks alot sir

4. AVIK DAS says:

Sir,

1) let A and B be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angles 30 degree and 60 degree respectively, find the resultant.

2) A force F=(5i + 3j + 2k)N acting on a body first displaces it by 2m along the x axis and then by 3m along the y axis. What is the total work done by the force?

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