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Let the vectors bara, barb, barc, bard b...

Let the vectors `bara, barb, barc, bard` be such that `(bara xx barb) xx (barc xx bard) = bar0`. Let `pi_(1), pi_(2)` be planes determined by the pairs of vectors `bara, barb` and `barc, bard` respectively, then angle betwen `pi_(1)` and `pi_(2)` is

A

`0^(@)`

B

`30^(@)`

C

`45^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. If bara,barb, barc are vectors such that [barabarbbarc]=4 then [baraxx...

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  2. Assertion (A) : Vector component of barb per pendicular to bara is (ba...

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  3. Let the vectors bara, barb, barc, bard be such that (bara xx barb) xx ...

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  4. The point of intersction of barr xx bara= barbxx bara and barr xx bar...

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  5. If the lines barr=bara+lamda(barbxxbarc) and barr=barb+mu(barcxxbara) ...

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  6. The distance of the point (1, 1, 1) from the plane passing through the...

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  7. Find the equation of the plane passing through the point A=(2,3,-1),B=...

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  8. Equation of the plane passing through the point A (3, -2, -1) and para...

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  9. Vector equation of the plane passing through the line barr =bara+ alph...

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  10. The vectors equation of the plane which is per-pendicular to 2bari -3b...

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  11. The position vectors of the three non-collinear points A, B, C, are ba...

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  12. The distance between the line barr=2bari-2barj+3bark+lamda(bari-barj...

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  13. The perpendicular distance from origin to the plane passing through th...

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  14. The shortest distance between the lines whose equations are barr = t...

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  15. The shortest distance between the lines through the points (2, 3, 1), ...

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  16. The lines barr =bara+ tbarb, barr = barc + bart^(1)bard are coplanar i...

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  17. Observe the following, choose correct answer : Assertion(A): The lin...

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  18. The equation of the plane containing the lines barr = bara+ tbarb and ...

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  19. Let bara=a(1)bari+a(2)barj+a(3)bark,barb=b(1)bari+b(2)barj+b(3)barkbar...

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  20. The three concurrent edges of a parallelopiped represents the vectors ...

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