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Let vec(A)=2hat(i)+hat(j),B=3hat(j)-hat(...

Let `vec(A)=2hat(i)+hat(j),B=3hat(j)-hat(k)` and `vec(C )=6hat(i)-2hat(k)`. Find the value of `vec(A)-2vec(B)+3vec(C )`.

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`vec(A)-2vec(B)+3vec(C )=(2hat(i)+hat(j))-2(3hat(j)-hat(k))+3(6hat(i)-2hat(k))`
`=2hat(i)+hat(j)-6hat(j)+2hat(k)+18hat(i)-6hat(k)=20hat(i)-5hat(j)-4hat(k)`
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CENGAGE PHYSICS-VECTORS-Exercise 3.1
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  4. If vec(A)=4hat(i)-3hat(j) and vec(B)=6hat(i)+8hat(j),then find the mag...

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  5. A truck travelling due to north at 20m s^(-1) turns west and travels a...

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  6. If the sum of two unit vectors is a unit vector,then find the magnitud...

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  7. The sum of the magnitudes of two forces acting at a point is 18 and th...

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  8. Two forces F(1)=1N and F(2)=2N act along the lines x=0 and y=0, respec...

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  9. Let vec(A)=2hat(i)+hat(j),B=3hat(j)-hat(k) and vec(C )=6hat(i)-2hat(k)...

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  10. A vector vec(a) is turned without a change in its length through a sma...

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  11. An object of m kg with speed of m s^(-1) strikes a wall at an angle th...

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  12. If A=3hat(i)+4hat(j) and B=7hat(i)+24hat(j),find the vector having the...

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  13. Vector vec(A) makes equal angles with x-,y-,and z-axis. Find the value...

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  14. Find the vector that must be added to the vector hat(i)-3hat(j)+2hat(k...

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  15. At what angle should the two forces vectors 2F and sqrt(2) F act so ...

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  16. Two forces, while acting on particle in opposite directions,have the r...

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  17. Two forces each equal to F//2 act at right angle. Their effect may be ...

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  18. The resultant of two forces has magnitude 20N. One of the forces is of...

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