Compute bar(a) xx (bar(b) + bar(c )) + b...

Compute `bar(a) xx (bar(b) + bar(c )) + bar(b) xx (bar(c ) +bar(a)) + bar(c ) xx (bar(a)+bar(b))`

Text Solution

Verified by Experts

The correct Answer is:

`bar(0)`

Topper's Solved these Questions

IPE SCANNER (TEXUAL BITS)
SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)|138 Videos
IPE SCANNER (TEXUAL BITS)
SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Hyperbolic Functions)|23 Videos
IPE SCANNER (TEXUAL BITS)
SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Addition of vectors)|26 Videos
IPE SCANNER (TEXTUAL BITS)
SRISIRI PUBLICATION|Exercise APPLICATIONS OF DERIVATIVES|48 Videos
IPE-MARCH-2016[TS]
SRISIRI PUBLICATION|Exercise Section-c(III . Answer any five of the following LAQs:)|6 Videos

Similar Questions

Explore conceptually related problems

Compute 2 bar(j) xx (3bar(i) - 4bar(k)) + (bar(i)+2bar(j)) xx bar(k) .

Find the perpendicular distance of the point bar(c ) from the straight line bar(r )= bar(a) + t bar(b) and hence deduce that the area of the triangle whose vertices are the points bar(a), bar(b) and bar(c )" is" (1)/(2)|bar(b) xx bar(c ) + bar( c) xx bar(a) + bar(a) xx bar(b)| .

If bar(a)bar(b)bar(c ) and bar(d) are vectors such that bar(a) xx bar(b) = bar(c ) xx bar(d) and bar(a) xx bar(c ) = bar(b)xxbar(d) . Then show that the vectors bar(a) - bar(d) and bar(b) -bar(c ) are parallel.

If bar(a)= 2bar(i) - 3bar(j) + 5bar(k), bar(b)= - bar(i) + 4bar(j)+ 2bar(k) then find (bar(a) + bar(b)) xx (bar(a) - bar(b)) and unit vector perpendicular to both bar(a) + bar(b) " & " bar(a)- bar(b) .

bar(a) , bar(b), bar (c ) , are non-coplanar vectors, Prove that the following four points are coplanar. 6bar(a) + 2bar(b) - bar(c ), 2bar(a) - bar(b) + 3bar(c ), -bar(a) + 2bar(b)-4bar(c ), -12bar(a)-bar(b)-3bar(c ) .

bar(a), bar(b), bar(c) are non-coplanar vectors. Prove thate the following four points are coplanar - bar(a) + 4 bar(b) - 3 bar(c) , 3 bar(a) + 2 bar(b) - 5 bar(c) - 3 bar(a) + 8 bar(b) - 5 bar(c) , - 3 bar(a) + 2 bar(b) + bar(c)

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

If |bar(P)| = 2, |bar(q)| = 3 and (bar(p),bar(q)) = (pi)/6, then find ...
Text Solution
|
If bar(a) = 2bar(i) - 3bar(j) + bar(k) and bar(b) = bar(i) + 4bar(j) -...
Text Solution
|
Compute bar(a) xx (bar(b) + bar(c )) + bar(b) xx (bar(c ) +bar(a)) + b...
Text Solution
|
If bar(p) = xbar(i) + ybar(j) + zbar(k), find the value of |bar(p) xx ...
Text Solution
|
Compute 2 bar(j) xx (3bar(i) - 4bar(k)) + (bar(i)+2bar(j)) xx bar(k).
Text Solution
|
Find unit vector perpendicular to both bar(i) + bar(j) + bar(k) and 2b...
Text Solution
|
If bar(a) = 2bar(i) - 3bar(j) + 5bar(k), bar(b) = -bar(i) + 4bar(j) + ...
Text Solution
|
Let bar(a) = 2bar(i)-bar(j)+bar(k), bar(b) = 3bar(i) + 4bar(j) -bar(k)...
Text Solution
|
If theta is the angle between the vectors bar(i) + bar(j) , bar(j) + b...
Text Solution
|
Find the area of the triangle having (3bar(i)+4bar(j)),(-5bar(i)+7bar(...
Text Solution
|
If bar(a) = bar(i) + 2bar(j) + 3bar(k), bar(b) = 3bar(i) +5bar(j) -bar...
Text Solution
|
Find the area of the parallelogram whose adjacent sides are bar(a) = 2...
Text Solution
|
Find the vector area and area of the parallelogram having bar(a) = bar...
Text Solution
|
Find the volume of the parallelopiped having co-tenninus edges are rep...
Text Solution
|
Find the volume of the parallelopiped having co-tenninus edges are rep...
Text Solution
|
Find the volume of the tetrahedron having the edges ,bar(i) + bar(j)...
Text Solution
|
Prove that vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) ...
Text Solution
|
If the vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) + 2...
Text Solution
|
Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2ba...
Text Solution
|
if bar(a) + bar(b) + bar(c ) = bar(0), |bar(a)| = 3, |bar(b)| = 5, |b...
Text Solution
|