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x .. Cengage e cSecuehtps//www.webassign dep1972363 14days ieft in your Cengage Uinted sopknvu Learn morefor less wit, aocess to over 22.000 ebooks ard dgtal leamg products upgradt Tan The magntude of vector Á s 1io.3 m ansd I points in the y ais drection. The mgs at an nge uercdockwise bom as. The magatiude al wector Cs (a) Which vector has the largest x component (b) Which vector has thee largest y conoonent U an arplane trevels 15 0" north of east for 113 km, how far east and how far north dd it travel? 1n ofher wods, whot are the magnitudes of the east component and north component of the O lyse here to searc

Explanation / Answer

(5) (a) since , a vector in terms of its components is given by,

vector, v = vx i + vy j + vz kk

Since A is pointing in x direction, so its x component is given by, Ax = 189.9 m

C is also pointing in x direction, so its component along x is given by, Cx = 87.2 m

Now, B is forming angle 49.0o with positive x axis anticloclwise. So, component along x is given by,

Bx = B cos (49o) = 200 ×0.65 = 130m

So by comparing , we the longest x component is Bx.

(b) according to question, Ay = 0

By = B sin (49o) = 200 (0.75) =150 m

& Cy = 0

So , By has longest y component.

(6) let us consider east to be +ve x-direction & north to be +ve y-direction.

Given here, angle from east in counterclockwise direction to be 15o . And distance is given 11.3 km

So , (a) east component is. = 11.3 cos (15) =10.91 km

(b) North component = 11.3 sin(15) =2.92 km

  

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