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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 points A(2hati-hatj+hatk), B(hati-3hatj-5hatk), C(3hati-4hatj-4hatk) are the vertices of a right angled triangle.

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.

ARIHANT MATHS-VECTOR ALGEBRA-Exercise For Session 2
  1. If a=2hati-hatj+2hatk and b=-hati+hatj-hatk, then find a+b. Also, find...

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  2. Find a unit vector in the direction of the resultant of the vectors (h...

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  3. Find the direction cosines of the resultant of the vectors (hati+hatj+...

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  4. In a regular hexagon ABCDEF, AB=a,BC=b and CD=c. Then,vec(AE) is equa...

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  5. Prove that 3vec(OD)+vec(DA)+vec(DB)+vec(DC) is equal to vec(OA)+vec(OB...

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  6. In a regular hexagon ABCDEF, bar(AB) + bar(AC)+bar(AD)+ bar(AE) + bar(...

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  7. ABCDE is a pentagon. Prove that the resultant of forces vec (AB), vec(...

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  8. find the area of square whose side is 25 cm.

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  9. If P(-1,2) and Q(3,-7) are two points, express the vector PQ in terms ...

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  10. If vec(OP)=2hati+3hatj-hatk and vec(OQ)=3hati-4hatj+2hatk find the mod...

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  11. Show that the points : A(2hati-hatj+hatk),B(hati-3hatj-hatk),C(3hati-4...

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  12. If a=2hati+2hatj-hatk and |xveca|=1, then find x.

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  13. If p=7hati-2hatj+3hatk and q=3hati+hatj+5hatk, then find the magnitude...

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  14. Find a vector in the direction of 5hati-hatj+2hatk, which has magnitud...

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  15. If a=hati+2hatj+2hatk and b=3hati+6hatj+2hatk, then find a vector in t...

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  16. Find the position vector of a point R which divides the line joining t...

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  17. If the position vector of one end of the line segment AB be 2hati+3hat...

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