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The position vector of a point lying on ...

The position vector of a point lying on the line joining the points whose position vectors are `bar(i)+bar(j)-bar(k) and bar(i)-bar(j)+bar(k)` is

A

j

B

i

C

k

D

o

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The correct Answer is:
B
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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 length of the lines segment joining the points whose position vectors are 7bar(j)+10bar(k),-4bar(i)+9bar(j)+6bar(k) .

Find the direction cosines of the line joining the points with position vectors -bar(i)+bar(j)+bar(k), 2bar(i)+3bar(j)-5bar(k) .

Find the position vector of the point which divides the line joining the points bar(i)+bar(j)-4bar(k) and bar(i)+bar(j)+bar(k) in the ratio 3 : 2.

If the points with position vectors 60bar(i)+3bar(j), 40bar(i)-8bar(j), abar(i)-52bar(j) are collinear then a =

Find the vector equation of the line passing through the points bar(i)+bar(j)+bar(k) and bar(i)-bar(j)+bar(k) .

Find the vector equation of the line passing through the points 2 bar(i)+bar(j)+3bar(k) and -4bar(i)+3bar(j)-bar(k) .

The equation to the line passing through the points A(bar(i)+bar(j)+bar(k)) and B(bar(i)+bar(j)-bar(k)) is

DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a ...

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  2. If the position vectors of A, B, C are 2i - 2j + k, 2i + j - k, -2i + ...

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  3. The position vector of a point lying on the line joining the points wh...

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  4. In Delta ABC, P, Q, R are points on BC, CA and AB respectively, dividi...

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  5. P, Q, R, S have position vectors bar(p), bar(q), bar(r), bar(s) respec...

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  6. The position vector of the centroid of the triangle formed by the poin...

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  7. The position vector of the centroid of the triangle formed by the poin...

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  8. If C is the midpoint of AB and P is any point outside AB, then

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  9. If A, B, C are the vertices of a triangle then vec(A)B + vec(B)C + vec...

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  10. If G is the centroid of Delta ABC then vec(G)A + vec(G)B + vec(G)C =

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  11. If G is the centroid of Delta ABC, G' is the centroid of Delta A' B' C...

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  12. If D is the midpoint of the side BC of Delta ABC then vec(A)B + vec(A)...

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  13. If D, E, F are the midpoints of BC, CA, AB of Delta ABC, then vec(A)D ...

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  14. If D, E are the midpoints of AB, AC of Delta ABC and vec(D)E = lambda ...

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  15. If D, E are the midpoints of AB, AC of Delta ABC, then vec(B)E + vec(D...

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  16. If S is the circumcentre, G the centroid, O the orthocentre of Delta A...

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  17. If S is the circumcentre, O is the orthocentre of Delta ABC then vec(O...

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  18. If A = (3, 2, 5), B = (3, 3, 5) and C = (3, 4, 8) are the vertices of ...

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  19. If 4i + 7j + 8k, 2i + 3j + 4k, 2i + 5j + 7k are position vectors of A,...

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  20. P, Q, R are the midpoints of the sides AB, BC and CA of the triangle A...

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