If b=3j+4k, is written as sum of a vecto...

If `b=3j+4k`, is written as sum of a vector `b_(1)` parallel to `a=i+j` and a vector `b_(2)` perpendicular to a, then `b_(1) times b_(2)` is equal to

`-3i+3j-9k`

`6i-6j+(9/2)k`

`-6i+6j-9//2k`

`3i-3j+9k`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

VECTOR ALGEBRA
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos
VECTOR ALGEBRA
MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos
TRIGONOMETRICAL IDENTITIES AND EQUATIONS
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

The vector vec b=3j+4k is to be written as the sum of a vector vec b_(1), parallel to vec a=i+j and a vector vec b_(2) ,perpendicular to vec a ,then vec b_(1), equals

The vector bar(b)=3bar(i)+4bar(k) is to be written as sum of a vector bar(b)_(1) parallel to bar(a)=bar(i)+bar(j) and a vector bar(b)_(2) perpendicular to bar(a) then bar(b)_(1) is equal to

If the vector bar(b)=3hat j+4hat k is written as the sum of vector bar(b)_(1) parallel to bar(a)=hat i+hat j and a vector bar(b)_(2) perpendicular to bar(a) then bar(b)_(1)times bar(b)_(2)=

The vector vec b=3 hat i+4 hat k is to be written as the sum of a vector vecalpha parallel to vec a= hat i+ hat j and a vector vecbeta perpendicular to vec adot Then vecalpha= 3/2( hat i+ hat j) b. 2/3( hat i+ hat j) c. 1/2( hat i+ hat j) d. 1/3( hat i+ hat j)

A unit vector c perpendicular to a=i-j and coplanar with a and b=i+k is

Let vec b=3hat j+4hat k,vec a=hat i+hat j and let vec b_(1) and vec b_(2) be component of vector b parallel and perpendicular to vec a .If vec b_(1)=(3)/(2)hat i+(3)/(2)hat j then vec b_(2) is equal to

Find vectors perpendicular to the plane of vectors a=2i-6j+3k" and "b=4i+3j+k .

Let a=i+j+k, c=j-k and a vector b is such that a times b=c" and "a*b=3 . Then abs(b) equals:

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS

Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors suc...
Text Solution
|
The area (in sq units) of the parallelogram whose diagonals are along ...
Text Solution
|
If b=3j+4k, is written as sum of a vector b(1) parallel to a=i+j and a...
Text Solution
|
Let vec u be a vector coplanar with the vectors vec a = 2 hat i + 3 ha...
Text Solution
|
If a, b and c are unit vectors such that a+2b+2c=0," then "abs(a times...
Text Solution
|
If the position vectors of the vertices A,B and C of a triangleABC are...
Text Solution
|
Let a=i+j+k, c=j-k and a vector b is such that a times b=c" and "a*b=3...
Text Solution
|
Let alpha = (lambda-2) a ne b and beta =(4lambda -2)a + 3b be two give...
Text Solution
|
Let sqrt(3i) + hatj , hati + sqrt(3j) and beta hati + (1- beta)hatj r...
Text Solution
|
Let a= hat(i) + 2hat(j) + 4hat(k) " " b= hat(i) = lambda hat(j) +...
Text Solution
|
Let a=hati - hatj, b=hati + hatj + hatk and c be a vector such that a ...
Text Solution
|
Let veca = 2hati+(lambda)1hatj+3hatk , vec(b)=4hati+(3-(labda)2)hatj+6...
Text Solution
|
Let a=hat(i)+hat(j)+sqrt(2)hat(k),b=b(1)hat(i)+b(2)hat(j)+sqrt(2)hat(...
Text Solution
|
The sum of the distinct real values of mu for which the vectors, muha...
Text Solution
|
Let a , b and c be three unit vectors out of which vectors b an...
Text Solution
|
Let alpha=3i+j" and "beta=2i-j+3k." If "beta=beta(1)-beta(2), " where ...
Text Solution
|
Let a=3hat(i) +2hat(j)+xhat(k) " and " b=hat(i)-hat(j) +hat(k) for s...
Text Solution
|
If unit vector a makes angles pi/3 with i, pi//4 with j and theta in (...
Text Solution
|
if the volume of parallelopiped formed by the vectors hati+lamdahatj+h...
Text Solution
|
Let a=3hati + 2hatj + 2hatk and b= hati + 2hatj - 2hatk be two vectors...
Text Solution
|