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The value of c if |c bar(u)| = sqrt(14),...

The value of c if `|c bar(u)| = sqrt(14), bar(u) = hat(i) + 2 hat(j) + 3 hat(k)` is___________

A

0

B

-1

C

1

D

3

Text Solution

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The correct Answer is:
C
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The values of c that satisfy |c bar(u)| = 3, bar(u) = hat(i) + 2 hat(j) + 3 hat(k) is___________

Find a unit vector in the opposite direction of bar(u) . Where bar(u) = 8 hat(i) + 3 hat(j) - hat(k) .

Find bar(a). bar(b) xx bar(c) , if bar(a) = 3 hat(i) - hat(j) + 4 hat(k), bar(b) = 2hat(i) + 3 hat(j) - hat(k), bar(c) = - 5 hat(i) + 2 hat(j) + 3 hat(k)

If vec(a)=hat(i)-hat(j)+hat(k), vec(b) = 2 hat(i) + 3 hat( j) + 2 hat(k) and vec(c) = hat(i) - m hat(j) + n hat(k) are three coplanar vectors and |vec(c)|=sqrt(6) , then which one of the following is correct?

If vec(a) = hat(i) - hat(j) + hat(k). vec(b) = 2hat(i) + 3hat(j) + 2hat(k) and vec(c ) = hat(i) + m hat(j) + n hat(k) are three coplanar vectors and |vec(c )| = sqrt6 , then which one of the following is correct?

If bar(a) = 4 hat(i) + 3 hat(k) and bar(b) = - 2 hat(i) + hat(j) + 5 hat(k) then find 2 bar(a) + 5 bar(b)

Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i- hat j+ hat k is such that it is equally inclined to vec ba n d vec d where vec d= hat j+2 hat kdot The value of vec a is a. ( hat i+ hat j+ hat k)/(sqrt(2)) b. ( hat i- hat j+ hat k)/(sqrt(3)) c. (2 hat i+ hat j)/(sqrt(5)) d. (2 hat i+ hat j)/(sqrt(5))

Consider the vectors bar(a)=hat(i)-2hat(j)+hat(k) and bar(b)=4hat(i)-4hat(j)+7hat(k) . What is the scalar projection of bar (a) on bar( b) ?

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-VECTOR AND THREE DIMENSIONAL GEOMETRY
  1. If l, m, n are direction cosines of a line then l hat(i) + m hat(j) + ...

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  2. The values of c that satisfy |c bar(u)| = 3, bar(u) = hat(i) + 2 hat(j...

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  3. The value of c if |c bar(u)| = sqrt(14), bar(u) = hat(i) + 2 hat(j) + ...

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  4. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent the...

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  5. Find the magnitude of a vector with initial point : (1, -3, 4), termin...

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  6. Find the coordinates of the point which is located, three units behind...

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  7. A(2, 3), B(-1, 5), C(-1, 1) and D(-7, 5) are four points in the Cartes...

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  8. Find a unit vector in the opposite direction of bar(u). Where bar(u) =...

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  9. The non zero vectors bar(a) and bar(b) are not collinear find the valu...

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  10. If bar(a) = 4 hat(i) + 3 hat(k) and bar(b) = - 2 hat(i) + hat(j) + 5 ...

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  11. Find the distance from (4, -2, 6) to the XZ-Plane.

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  12. If the vectors 2 hat(i) - q hat(j) + 3 hat(k) and 4 hat(i) - 5 hat(j)...

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  13. Find bar(a). bar(b) xx bar(c), if bar(a) = 3 hat(i) - hat(j) + 4 hat(k...

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  14. If a line makes angle 90o, 60oand 30owith the positive direction of ...

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  15. The vector bar(a) is directed due north and |bar(a)| = 24. The vector ...

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  16. Show that following points are collinear P(4, 5, 2), Q(3, 2, 4), R(5, ...

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  17. If a vector has direction angles 45^(@) and 60^(@) find the third dire...

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  18. If bar(c) = 3 bar(a) - 2 bar(b) then prove that [(bar(a),bar(b),bar(c...

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  19. If |bar(a).bar(b)| = |bar(a) xx bar(b)| & bar(a). bar(b) lt 0, then fi...

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  20. The direction ratios of a vector perpendicular to the two lines whose ...

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