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Find a vector which is parallel to vecto...

Find a vector which is parallel to vector `vecA=4 hati-3 hatj`
and have the same magnitude as vector `vecB=8hati+6hatj` .

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AI Generated Solution

To find a vector \( \vec{C} \) that is parallel to the vector \( \vec{A} = 4 \hat{i} - 3 \hat{j} \) and has the same magnitude as the vector \( \vec{B} = 8 \hat{i} + 6 \hat{j} \), we can follow these steps: ### Step 1: Calculate the magnitude of vector \( \vec{B} \) The magnitude of vector \( \vec{B} \) is calculated using the formula: \[ |\vec{B}| = \sqrt{(B_x)^2 + (B_y)^2} \] ...
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MODERN PUBLICATION-MOTION IN A PLANE -Revision Exercises (Numerical Problems)
  1. Calculate the angle between two factors vecX and vecY if the resultant...

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  2. A boatman wants to reach from one bank of a 2km wide river to a point ...

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  3. Find a vector which is parallel to vector vecA=4 hati-3 hatj and hav...

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  4. An aeroplane takes off at an angle of 60^(@) to the vertical .If the c...

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  5. A man rides a jet boat with a speed of 40 km//hr in the north -east di...

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  6. For the vector vecA=a hati+2hatj-hatj and vecB =2ahati-ahatj+4hatk to ...

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  7. Under the effect of a force vecF=5hati-2 hatj+3hatkN, abody of mass 1 ...

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  8. For three vectors , vecX, vecY and vecZ, vecZ=vecX+vecY and |vecX|=12,...

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  9. The resultant of vectors vecA=3hati+4hatj+5hatk and vecB =5hati+3 hatj...

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  10. For vectors vecA=3hati-4hatj+5hatk and vecB=hati-hatj-hatk, calculate ...

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  11. Determine the value of alpha for which the vectors i-3alphahatj+hatk a...

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  12. Determine a unit vector perpendicular to both the vectors vecA=2hati-3...

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  13. The magnitude of two vectors vecA and vecB is 3 and 4 respectively . ...

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  14. Find the area of the triangle determined by two vectors: vecA=hati-3ha...

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  15. The diagonals of a parallelogram are given by -3hati+2hatj-4hatk and -...

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  16. The position vector of a particle is given by vecr=(2 sin 2t)hati+(3+ ...

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  17. From the top of a hill 480 m high , a projectile is fired horizontally...

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  18. A body is projected horizontally with a velocity of 39.4m//s from the ...

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  19. Two hills of height 100 m and 80 m have a valley of breadth 15 between...

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  20. A particle is projected with a velocity of 25 m//s at an angle of 30^...

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