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Show that the points : A(2hati-hatj+hatk...

Show that the points : `A(2hati-hatj+hatk),B(hati-3hatj-hatk),C(3hati-4hatj-4hatk)` are the vertices of a right-angled triangle.

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Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4hatj-4hatk form the vertices of a right angled triangle.

Show that the points : A(-2hati+3hatj+5hatk), B(hati+2hatj+3hatk) and C(7hati-hatk) are collinear.

Show that the following vectors are coplanar : 2hati-hatj+hatk,hati-3hatj-5hatk,3hati-4hatj-4hatk .

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

Using vector method, show that the points whose position vectors are , 2hati-hatj+hatk and hati-3hatj-5hatk and 3hati-4hatj-4hatk form a right angled triangle.

Using vector method, show that the points whose position vectors are hati-hatj , 4hati-3hatj+hatk and 2hati-4hatj+5hatk form a right angled triangle.

Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb=2hati-hatj+hatk and vecc=hati-3hatj-5hatk respectively form the vertices of a right angled triangle.

Show that the vectors hati-3hatj+2hatk,2hati-4hatj-hatk and 3hati+2hatj-hatk and linearly independent.

PSEB-VECTOR ALGEBRA-Exercise
  1. Show that the points : A(2hati-hatj+hatk),B(hati-3hatj-hatk),C(3hati-4...

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  2. Represent graphically a displacement of 40 km, 30^o east of north.

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  3. Classify the following measure as scalar and vector: 10 Kg

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  4. Classify the following measure as scalar and vector: 2 meters north-w...

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  5. Classify the following measure as scalar and vector: 40^o

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  6. Classify the following measure as scalar and vector: 20 m/s^2

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  7. Classify the following as scalar and vector quantities: time period

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  8. Classify the following as scalar and vector quantities: distance

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  9. Classify the following as scalar and vector quantities: force

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  10. Classify the following as scalar and vector quantities: velocity

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  11. Classify the following as scalar and vector quantities:work done

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  12. Compute the magnitude of the following vectors: veca=hati+hatj+hatk

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  13. Compute the magnitude of the following vectors: vecb=2veci-7vecj-3veck...

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  14. Compute the magnitude of the following vectors: vecc=(1/sqrt3)veci+(1/...

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  15. Write two different vectors having same magnitude.

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  16. Write two different vectors having same direction.

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  17. Find the values of x and y so that the vectors 2veci+3vecj and xveci+y...

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  18. Find the scalar and vector components of the vector with initial point...

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  19. Find the sum of the vectors veca = veci-2vecj+veck, vecb = -2veci+4vec...

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  20. Find the unit vector in the direction of the vector veca = veci+vecj+2...

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  21. Find the unit vector in the direction of vector vec(PQ), where P and Q...

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