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CBSE Class 12-science Answered

For any vector a, show that i-cap x (a x i-cap) + j-cap x (a x j-cap) + k-cap x (a x k-cap) =2a. 
Asked by sunil2791 | 17 Nov, 2017, 07:17: PM
answered-by-expert Expert Answer
begin mathsize 16px style let space straight a equals xi plus yj plus zk straight i cross times straight i equals 0 comma straight i cross times straight k equals straight j comma straight i cross times straight j equals straight k. similarly space for space straight k space and space straight j straight i cross times open parentheses straight a cross times straight i close parentheses plus straight j cross times open parentheses straight a cross times straight j close parentheses plus straight k cross times open parentheses straight a cross times straight k close parentheses equals straight i cross times open parentheses yk plus zj close parentheses plus straight j cross times open parentheses xk plus zi close parentheses plus straight k cross times open parentheses xj plus yi close parentheses equals yj plus zk plus xi plus zk plus xi plus yk equals 2 open parentheses xi plus yj plus zk close parentheses equals 2 straight a end style
Answered by Arun | 05 Dec, 2017, 03:54: PM

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CBSE 12-science - Maths
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Asked by durgaprasaddurgaprasad174 | 01 Jul, 2022, 05:05: PM
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CBSE 12-science - Maths
v=e^xyz(i+j+k) find curl v
Asked by abhimeena1011 | 18 Jan, 2022, 10:43: AM
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CBSE 12-science - Maths
  If a vectors = 2 i – 4 j + 5 k then find value of lamda so that lamda times a (vector) may be a unit vector  i  j and k are unit vector/axis
Asked by haroonrashidgkp | 23 Oct, 2018, 07:06: PM
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CBSE 12-science - Maths
Please help me with this question
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Asked by akshitaasia | 19 Mar, 2018, 11:04: AM
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CBSE 12-science - Maths
Find the distance between the point A(– 1, 2, 3) and B(1, – 1, – 3).
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Find the vector joining the points P(– 2, – 3, 4) and Q(3, 2, 5) directed from P to Q. Also find the distance between the points.
Asked by Topperlearning User | 13 Aug, 2016, 02:21: AM
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CBSE 12-science - Maths
If , then find the value of
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Find the position vector of mid-point of joining the points (6, – 2, 3) and (4, 2, –5).
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
If P, Q and R have position vectors (0, 0, 2), (2, 0, 0) and (0, 1, 0). Show that is an isosceles.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
The position vectors of A, B and C are and . Prove that A, B and C are collinear.
Asked by Topperlearning User | 03 Mar, 2015, 01:45: PM
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