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Grade 11Vectors

the x and y components of vector a are 4m and 6m respectively .the x and y cmponents of vector A+B are 10m and 9m respectively .find the length of B and angle that B makes with the axis.

Profile image of RAHUL
11 Years agoGrade 11
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6 Answers

Profile image of noogler
11 Years ago
A=4i+6j
A+B=10i+9j
B=(A+B)-A=6i+3j
length of B=(36+9)1/2=3(5)1/2
let o be angle made by B with X-axis..........Tano= -2     [Tano=-y/x]
 
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Profile image of SuDheer Kumar Naidu Vundi
10 Years ago
how is it possible.....
here angle makes with x axis but not both x and y axis.... how we use tan(theta) here....
i think formula is given cos(theta) or sin(theta)
depends on coordinate system
Profile image of Pankaj Raajpøøt Thakur
9 Years ago
A=4i+6jA+B=10i+9jB=(A+B)-A=6i+3jlength of B=(36+9)1/2=3(5)1/2let o be angle made by B with X-axisthus O=tan^-1(-1/2) [Tano=-y/x]
Profile image of shinee
8 Years ago
but, how can it be negative ...i mean tan^-1(-1/2) , also in my book ans is tan^-1(1/2)  can u explain?
 
Profile image of Yash k
8 Years ago
The above ans for the length of B is correct (45^1/2 or 3(5)^1/2)... But for tan(theta) it would be.. Tan(theta) = By/Bx = 3/6 = 1/2... Therefore, theta = tan^-1(1/2)
Profile image of Yash Chourasiya
6 Years ago
Hello Student

Please see the solution in the attachment.
643-1001_Untitled.png

I hope this answer will help you.

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