Q8) Ifa, b, c (b, care non-parallel) are...

Q8) Ifa, b, c (b, care non-parallel) are unit vectors such that ax (b×c) = (1/2) then the angle which a makes with b and are en the angle which a makes with b and c are A. 30, 60 B. 600, 90° C. 90, 60 D. 60°, 30° 0 c00 0 300

Text Solution

AI Generated Solution

Topper's Solved these Questions

PRODUCT OF VECTORS
ARIHANT MATHS ENGLISH|Exercise JEE Type Solved Examples: Passage Based Type Questions|3 Videos
PRODUCT OF VECTORS
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|12 Videos
PROBABILITY
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|54 Videos
PROPERTIES AND SOLUTION OF TRIANGLES
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3))/(2)(b+c) . If b is not parallel to c , then the angle between a and b is

If straighat lin emakes and angle of 60^0 with each of the x and y-axes the angle which it makes with the z-axis is (A) pi/4 (B) pi/3 (C) (3pi)/4 (D) pi/2

If two acute angles of a right triangle are equal, then each acute is equal to (a) 30^0 (b) 45^0 (c) 60^0 (d) 90^0

The angles of a triangle are in the ratio 1:2:3. The measure of the largest angle is: (a) 30^0 (b) 60^0 (c) 90^0 (d) 120^0

If all the three angles of a triangle are equal, then each one of them is equal to: (a) 90^0 (b) 45^0 (c) 60^0 (d) 30^0

The angle between the plane 3x+4y=0 and z-axis is (A) 0^0 (B) 30^0 (C) 60^0 (D) 90^0

Let a , b and c be three unit vectors out of which vectors b and c are non -parallel. If alpha " and " beta are the angles which vector a makes with vectors b and c respectively and axx (b xx c) = (1)/(2) b, Then |alpha -beta| is equal to

The angle between a line x=1,y=2 and y+1=0, z=0 is (A) 0^0 (B) 30^0 (C) 60^0 (D) 90^0

Find the area of the triangle DeltaA B C in which a=1,\ b=2\ a n d\ /_c=60^0dot

The angle between the plane 3x+4y=0 and the line x^2+y^2=0 is (A) 0^0 (B) 30^0 (C) 60^0 (D) 90^0

ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)

Q8) Ifa, b, c (b, care non-parallel) are unit vectors such that ax (b×...
Text Solution
|
Let O be the origin and let PQR be an arbitrary triangle. The point S ...
Text Solution
|
Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...
Text Solution
|
Let O be the origin, and O X , O Y , O Z be three unit vectors ...
Text Solution
|
Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...
Text Solution
|
Let vec a , vec b and vec c be three non-zero vectors such that no ...
Text Solution
|
If vec a , vec ba n d vec c are unit vectors satisfying | vec a- v...
Text Solution
|
The vector(s) which is/are coplanar with vectors hat i+ hat j+2 hat...
Text Solution
|
Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...
Text Solution
|
Two adjacent sides of a parallelogram A B C D are given by vec A B=...
Text Solution
|
Let P,Q R and S be the points on the plane with position vectors -2hat...
Text Solution
|
If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...
Text Solution
|
If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...
Text Solution
|
The edges of a parallelopiped are of unit length and are parallel to ...
Text Solution
|
Let two non-collinear unit vectors veca and vecb form an acute angle. ...
Text Solution
|
Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular...
Text Solution
|
The number of distinct real values of lambda , for which the vectors...
Text Solution
|
Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...
Text Solution
|
Let vec A be a vector parallel to the line of intersection of plan...
Text Solution
|
Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...
Text Solution
|
The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk an...
Text Solution
|