Show that the triangle formed by the vec...

Show that the triangle formed by the vectors `3bar(i)+5bar(j)+2bar(k), 2bar(i)-3bar(j)-5bar(k), -5bar(i)-2bar(j)+3bar(k)` is equilateral.

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If the triangle formed by the vectors 3 bar(i) + 5 bar(j) + 2 bar(k) , 2 bar(i) - 3 bar(j) - 5 bar(k) and - 5 bar(i) - 2 bar(j) + 3 bar(k) equilateral ?

The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+bar(j)-2bar(k)

Write the position vector of the centroid of the triangle formed by the points whose position vectors are 3bar(i)+2bar(j)-bar(k), 2bar(i)-2bar(j)+5bar(k), bar(i)+3bar(j)-bar(k) .

Find the value of [bar(i)+bar(j)+bar(k),bar(i)-bar(j),bar(i)+2bar(j)-bar(k)] .

Show that the four points with position vectors 3bar(i)+5bar(j), 3bar(j)-5k, 5bar(i)-19bar(j)-3bar(k), 6bar(i)-5bar(j) are non coplanar.

Show that the points -2bar(i)+3bar(j)+6bar(k), 6bar(i)-2bar(j)+3bar(k), 3bar(i)+6bar(j)-2bar(k) form an equilateral triangle.

Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2bar(j) -3bar(k) , bar(j) - tbar(k) are coplanar.

Find the vector area and area of the triangle with vertices bar(i) + bar(j)-bar(k), 2bar(i)- 3bar(j) + bar(k), 3 bar(i) + bar(j)- 2bar(k) .

Find the position vector of the centroid of the tetrahedron formed by the points 2bar(i)-bar(j)-3bar(k), 4bar(i)+bar(j)+3bar(k), 3bar(i)+2bar(j)-bar(k), bar(i)+4bar(j)+2bar(k) .

The points with P.V's bar(i)+2bar(j)+bar(k), 2bar(i)+3bar(j)+4bar(k) and 4bar(i)+5bar(j)+10bar(k) form

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Addition of vectors)

Show that the points whose P,V are -2bar(a)+3bar(b)+5bar(c ), bar(a)+2...
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If bar(OA) = bar(i) + bar(j)+ bar(k), bar(AB) = 3bar(i)-2bar(j)+bar(k)...
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Find the vectore equation of the line passing through the point 2bar(i...
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Find the vector equation of the line passing through the points 2bar(i...
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OABC is a parallelogram. If bar(OA) = bar(a),bar(OC) = bar(c ) find th...
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Find the vector equation of the plane passing through the points bar(i...
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Let bar(a)=bar(i)+2bar(j)+3bar(k)andbar(b)=3bar(i)+bar(j). . Find a ...
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Find a vector in the direction of vector bar(a) = bar(i) - 2bar(j) has...
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Find unit vector in the direction of vector bar(a) = (2bar(i)+3bar(j)+...
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Write direction ratios of the vector bar(r ) = bar(i) + bar(j) - 2bar(...
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If alpha, beta and gamma be the angle made by the vector 3bar(i)-6bar(...
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Find the angles made by the straight line passing through the points (...
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Consider two points P and Q with position vectors bar(OP) = 3bar(a) - ...
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Consider two points P and Q with position vectors bar(OP) = 3bar(a) - ...
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Show that the points A(2bar(i)-bar(j)+bar(k)), B(bar(i)-3bar(j)-5bar(k...
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Show that the triangle formed by the vectors 3bar(i)+5bar(j)+2bar(k), ...
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S.T the points whose P.V are bar(a) - 2bar(b) + 3bar(c ), 2bar(a)+3bar...
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ABCDE is a pentagon. If the sum of the vectors bar(AB),bar(AE), bar(...
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If bar(a), bar(b), bar(c ) are P.V's of the vertices A,B,C respectivel...
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Find the vector equation of plane passing through Points (0,0,0) , (0,...
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