If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)...

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)andbar(a)-bar(b)`

Text Solution

Verified by Experts

The correct Answer is:

`+- 1/(sqrt782)(26bar(i)+9bar(j)-5bar(k))`

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

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) .

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

If bar(a) = 2bar(i) - 3bar(j) + 5bar(k), bar(b) = -bar(i) + 4bar(j) + 2bar(k) then find bar(a) xx bar(b) and unit vector perpendicular to both bar(a), bar(b) [-26bar(i) - 9bar(j) + 5bar(k), +- 1/(sqrt(782))26bar(i)+9bar(j)-5bar(k)) .

If bar(OP)=2bar(i)+3bar(j)-bar(k), bar(OQ)=3bar(i)-4bar(j)+2bar(k) then d.c's of bar(PQ) are

If bar(a) = 2bar(i) - bar(j) + bar(k), and bar(b) = bar(i) - 3bar(j) - 5bar(k) then find |bar(a) xx bar(b)| .

Let bar(a)=4bar(i)+5bar(j)-bar(k),bar(b)-bar(i)-4bar(j)+5bar(k)andbar(c)=3bar(i)+bar(j)-bar(k) . Find the vector which is perpendicular to both bar(a)andbar(b)andbar(alpha).bar(c)=21

If bar(a) = bar(i) - 2bar(j) - 3bar(k), bar(b) = 3bar(i) -bar(j)+2bar(k) then S.T bar(a)+bar(b).bar(a)-bar(b) are perpendicular.

If bar(a)=bar(i)+2bar(j)-3bar(k)and bar(b)=3bar(i)-bar(j)+2bar(k) , then show that bar(a)+bar(b)and bar(a)-bar(b) are and perpendicular to each other .

If bar(a)=bar(i)+2bar(j)-3bar(k),bar(b)=2bar(i)+3bar(j)+bar(k) then Show that bar(a)+bar(b),bar(a)-bar(b) are perpendicular .

If bar(a) = bar(i) + 2bar(j)-3bar(k), bar(b) = 3bar(i)-bar(j)+2bar(k) then S.T bar(a)+bar(b), bar(a)-bar(b) are perpendicular.

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

Prove that bar(a)x[bar(a)x(bar(a) x bar(b))] = (bar(a).bar(a))(bar(b)x...
Text Solution
|
Find the value of [bar(i)+bar(j)+bar(k),bar(i)-bar(j),bar(i)+2bar(j)-b...
Text Solution
|
Ig |bar(a)| = 11 ,|bar(b)| = 23,|bar(a)-bar(b)| = 30 then find the ang...
Text Solution
|
If bar(P),bar(Q),bar(R) and bar(S) are points whose position vectors a...
Text Solution
|
Let bar(a) = 2bar(i) + 3bar(j) + bar(k), bar(b) = 4bar(i) + bar(j) and...
Text Solution
|
Let bar(e1) and bar(e2) be unit vectors making angle theta. If 1/2|bar...
Text Solution
|
Find the equation of the line passing through the point 2bar(i)+3bar(j...
Text Solution
|
If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k), then...
Text Solution
|
If bar(a)bar(b)bar(c ) and bar(d) are vectors such that bar(a) xx bar(...
Text Solution
|
If bar(a).bar(b) = bar(a).bar(c ) and bar(a) xx bar(b) = bar(a) xx bar...
Text Solution
|
Find the equation of the plane passing through the point A=(2,3,-1),B=...
Text Solution
|
Find the equation of the plane passing though the point A = (3, -2,-1)...
Text Solution
|
Find the distance of a point (2,5,-3) form plane bar(r ).(6bar(i) - 3b...
Text Solution
|
Find the angle between line (x+1)/2 = y/3 = (z-3)/6 and the plane 10x ...
Text Solution
|
Compute [bar(i) - bar(j). bar(j) - bar(k). bar(k) -bar(i)].
Text Solution
|
If bar(a) = bar(i) -2bar(j)-3bar(k),bar(b)=2bar(i)+bar(j)-bar(k),bar(c...
Text Solution
|
For non coplanar vector, bar(a), bar(b) and bar(c ) determine p for wh...
Text Solution
|
Determine lambda, for which the volume of the parallelopiped having co...
Text Solution
|
If [bara+2bar b 2bar b+bar c 5bar c+bara]=k[bar a bar b bar c]
Text Solution
|
Let bar(a),bar(b) be two non-collinear unit vectors, if bar(alpha) = b...
Text Solution
|