# If a=2i-j+3k, b=-i+4j-2k, c=i+j+7k and xa+yb=c then (x, y)=

1.  (3, 1)

2.  (3, -1)

3.  (-3, 1)

4.  (-3, -1)

4

(3, 1)

Explanation :
No Explanation available for this question

# The value of λ such that (x, y, z)≠(0, 0, 0) and (i+j+3k)x+(3i-3j+k)y+(-4i+5j)z=λ(xi+yj+zk) are

1.  0, 1

2.  0, -1

3.  1, -1

4.  0,1, -1

4

0, -1

Explanation :
No Explanation available for this question

# If the position vectors of A, B are i+j-4k respectively then the position vector of the point which divides is

1.  3a+b+2c

2.  3a-b+2c

3.  3a+b-2c

4.  3a-b-2c

4

3a+b+2c

Explanation :
No Explanation available for this question

# If the position vectors of A, B are i+j+k and i+j-k respectively then the position vector of the point which divides into the ratio 2:3 is

1.  i+j+k

2.  i+j-k

3.  i-j+k

4.  i-j-k

4

i+j-k

Explanation :
No Explanation available for this question

# The relation between the vectors a+3b+4c, a-2b+3c, a+5b-2c, 6a+14b+4c is

1.  1(a+3b+4c)+2(a-2b+3c)+2(a+5b-2c)-1(6a+14b+4c)=0

2.  1(a+3b+4c)+2(a-2b+3c)+3(a+5b-2c)-2(6a+14b+4c)=0

3.  1(a+3b+4c)+2(a-2b+3c)+3(a+5b-2c)-1(6a+14b+4c)=0

4.  none

4

1(a+3b+4c)+2(a-2b+3c)+3(a+5b-2c)-1(6a+14b+4c)=0

Explanation :
No Explanation available for this question

# The value of λ such that (x, y, z)≠(0, 0, 0) and (i+j+3k)x+(3i-3j+k)y+(-4i+5j)z=λ(xi+yj+zk) are

1.  0, 1

2.  0, -1

3.  1, -1

4.  0,1, -1

4

0, -1

Explanation :
No Explanation available for this question

# If A=i+2j+3k and B=2i-j+4k then the position vectors of the points of trisection are

1.  (4/3, 1, 10/3), (5/3, 0, 11/3)

2.  (-4/3, -1, -10/3), (-5/3, 0, -11/3)

3.  (4/3, -1, -10/3), (-5/3, 0, 11/3)

4.  none

4

(4/3, 1, 10/3), (5/3, 0, 11/3)

Explanation :
No Explanation available for this question

# A point C= 5q+4b-5c divides the line joining A=a-2b+3c and B in the ratio 2:1 then the position vector of B is

1.  2a-3b+4c

2.  2a+3b-4c

3.  2a-3b-4c

4.  none

4

2a+3b-4c

Explanation :
No Explanation available for this question

# The ratio in which i+2j+3k divides the join of -2i+3j+5k and 7i-k is

1.  -3:2

2.  1:2

3.  2:3

4.  -4:3

4

1:2

Explanation :
No Explanation available for this question

# If A=i+2j+3k, B=3i+4j+7k and C= 2i+3j+5k are collinear, then the ratio in which B divides is

1.  2:1 externally

2.  2:1 internally

3.  4:1 externally

4.  2:1 internally

4