The position vectors of the vertices of ...

The position vectors of the vertices of a triangle are `hati+2hatj+3hatk,3hati-4hatj+5hatk" ""and" -2hati+3hatj-7hatk.`Find the perimeter of the triangle

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Let ABC be a triangle the position vectors of whose vertices are respectively hati+2hatj+4hatk, -2hati+2hatj+hatk and 2hati+4hatj-3hatk . Then the /_\ABC is (A) isosceles (B) equilateral (C) righat angled (D) none of these

The position vectors of the points A,B, and C are hati+2hatj-hatk, hati+hatj+hatk , and 2hati+3hatj+2hatk respectively. If A is chosen as the origin, then the position vectors B and C are

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

Show that the vectors -hati-2hatj-6hatk,2hati-hatj+hatk" " and -hati+3hatj+5hatk, form a right angled triangle.

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

Prove that points hati+2hatj-3hatk, 2hati-hatj+hatk and 2hati+5hatj-hatk form a triangle in space.

Show that the vectors 2hati-hatj+hatk,hati-3hatj-5hatkand3hati-4hatk form the vertices of a right angled triangle.

Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj--7hatk .

Show that the points vectors are 2hati+3hatj-5hatk,3hati+hatj-2hatk and 6hati-5hatj+7hatk are collinear.

Find the angle between the vectors 2hati+3hatj-6hatk" " and 6hati-3hatj+2hatk

SURA PUBLICATION-VECTOR ALGEBRA -I-EXERCISE 8.2

Find the direction cosines and direction ratios for the following vect...
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Find the direction cosines and direction ratios for the following vect...
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Find the direction cosines and direction ratios for the following vect...
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Find the direction cosines and direction ratios for the following vect...
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A triangle is formed by joining the points (1,0,0), (0,1,0) and (0,0,1...
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If (1)/(2),(1)/(sqrt(2)) a are the direction cosines of some vector, t...
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If (a,a+b,a+b+c) is one set of direction ratios of the line joining (1...
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Show that the vectors 2hat(i)-hat(j)+hat(k),3hat(i)-4hat(j)-4hat(k), h...
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Find the value of lambda for which the vectors veca=3hat(i)+2hat(j)+9h...
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Show that the vectors are coplanar hat(i)-2hat(j)+3hat(k),-2hat(i)+...
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Show that the vectors are coplanar 2hat(i)+3hat(j)+hat(k),hat(i)-hat...
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Show that the points whose position vectors 4hat(i)+5hatj+hatk,-hatj-h...
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If veca=2hati+3hatj-4hatk,vecb=3hati-4hatj-5hatk, and vecc=-3hati+2hat...
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If veca=2hati+3hatj-4hatk,vecb=3hati-4hatj-5hatk, and vecc=-3hati+2hat...
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The position vectors of the vertices of a triangle are hati+2hatj+3hat...
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Find the unit vector parallel to 3veca-2vecb+4vecc,"if"" "veca=3hati-h...
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The position vectors veca,vecb,veccof three points satisfy the relatio...
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The position vectors of the points P,Q,R,S are hati+hatj+hatk,2hati+5h...
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Find the value or values of m for which m (hati+hatj+hatk) is a unit v...
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Show that the points A (1,1,1), B (1,2,3) and C (2,-1,1) are vertices ...
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