If overline(a)=hat(i)+2hat(k), overline(...

If `overline(a)=hat(i)+2hat(k), overline(b)=2hat(i)+hat(j), overline(c)=hat(j)+2hat(k)`, then `overline(a)*(overline(b)timesoverline(c))=`

A

`1`

B

`2`

C

`4`

D

`6`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

TRIGONOMETRIC FUNCTIONS
NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

If overline(a)=3hat(i)-2hat(j)+7hat(k), overline(b)=5hat(i)+hat(j)-2hat(k), overline(c)=hat(i)+hat(j)-hat(k) , then overline(a)*(overline(b)timesoverline(c))=

If overline(a)=7hat(i)-hat(j)+2hat(k), overline(b)=hat(i)+3hat(j)-hat(k), overline(c)=4hat(i)+5hat(k) , then overline(a)*(overline(b)timesoverline(c))=

If overline(u)=hat(i)-2hat(j)+hat(k), overline(v)=3hat(i)+hat(k), overline(w)=hat(j)-hat(k) , then (overline(u)+overline(w))*((overline(u)timesoverline(v))times(overline(v)timesoverline(w))) =

If overline(a)=hat(i)+2hat(j), overline(b)=-2hat(i)+hat(j), overline(c)=4hat(i)+3hat(j) and overline(c)=xoverline(a)+yoverline(b) , then

If overline(a)=hat(i)+3hat(j), overline(b)=2hat(i)+5hat(j), overline(c)=4hat(i)+2hat(j) and overline(c)=t_(1)overline(a)+t_(2)overline(b) , then

If overline(a)=2hat(i)+3hat(j)-hat(k), overline(b)=4hat(i)+2hat(j)+3hat(k), overline(c)=2hat(i)-5hat(j)+9hat(k) , then overline(a)*(overline(b)timesoverline(c))=

If overline(a)=3hat(i)-hat(j)+4hat(k), overline(b)=2hat(i)+3hat(j)-2hat(k), overline(c)=-5hat(i)+2hat(j)+3hat(k) , then overline(a)*(overline(b)timesoverline(c))=

If overline(a)=hat(i)+hat(j)+hat(k), overline(b)=2hat(i)+qhat(j)+hat(k), overline(c)=hat(i)-hat(j)+4hat(k) and overline(a)*(overline(b)timesoverline(c))=1 , then q=

If overline(u)=hat(i)-2hat(j)+hat(k), overline(v)=3hat(i)+hat(k), overline(w)=hat(j)-hat(k) , then [[overline(u)timesoverline(v), overline(u)timesoverline(w),overline(v)timesoverline(w)]]=

If overline(u)=-hat(i)-2hat(j)+hat(k), overline(r)=3hat(i)+hat(k), overline(w)=4hat(j)+5hat(k) , then (overline(u)+overline(w))*((overline(u)timesoverline(r))times(overline(r)timesoverline(w))) =

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS

If overline(a)=7hat(i)-hat(j)+2hat(k), overline(b)=hat(i)+3hat(j)-hat(...
Text Solution
|
If overline(a)=2hat(i)+3hat(j)-hat(k), overline(b)=4hat(i)+2hat(j)+3ha...
Text Solution
|
If overline(a)=hat(i)+2hat(k), overline(b)=2hat(i)+hat(j), overline(c)...
Text Solution
|
If overline(a)=2hat(i)+3hat(j)-hat(k), overline(b)=5hat(i)-6hat(j)+2ha...
Text Solution
|
If overline(a), overline(b), overline(c) are unit vectors such that ov...
Text Solution
|
If overline(a)=hat(i)+hat(j)+hat(k), overline(b)=2hat(i)+qhat(j)+hat(k...
Text Solution
|
If overline(a)=hat(i)+hat(j)+hat(k), overline(b)=2hat(i)+lambdahat(j)+...
Text Solution
|
If the vectors overline(a)=hat(i)+hat(j)+hat(k), overline(b)=hat(i)-h...
Text Solution
|
If the vectors overline(a)=hat(i)-hat(j)-6hat(k), overline(b)=hat(i)+...
Text Solution
|
If the vectors overline(a)=-3hat(i)+4hat(j)-2hat(k), overline(b)=hat(...
Text Solution
|
If the vectors overline(a)=4hat(i)+13hat(j)-18hat(k), overline(b)=hat...
Text Solution
|
If the vectors overline(a)=hat(i)-2hat(j)+hat(k), overline(b)=2hat(i)...
Text Solution
|
If the vectors overline(a)=hat(i)-2hat(j)+hat(k), overline(b)=phat(i)...
Text Solution
|
If the vectors overline(a)=hat(i)+hat(j)+hat(k), overline(b)=hat(i)-h...
Text Solution
|
If the vectors overline(a)=4hat(i)+11hat(j)+mhat(k), overline(b)=7hat...
Text Solution
|
If overline(a)=hat(i)-2hat(j)+hat(k), overline(b)=xhat(i)-5hat(j)+3hat...
Text Solution
|
Let overline(a)=hat(i)-hat(k), overline(b)=xhat(i)+hat(j)+(1-x)hat(k),...
Text Solution
|
If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+ha...
Text Solution
|
If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+ha...
Text Solution
|
If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahati...
Text Solution
|