# is equal to:

1.  0

2.  1/2

3.  -1/2

4.  -1

4

-1/2

Explanation :
No Explanation available for this question

# If α=3i-2j+k,β=-i+j+k,then the unit vector parallel to the vector α+β is:

1.  (2/3)i-(1/3)j+(2/3)k

2.  (2/5)i-(1/5)j+(2/5)k

3.  (2/√3)i-(1/√3)j+(2/√3)k

4.  -(2/√3)i-(1/√3)j-(2/3)k

4

(2/3)i-(1/3)j+(2/3)k

Explanation :
No Explanation available for this question

# The area of the triangle formed by the points whose position vectors are 3i+j,5i+2j+k,i-2j+3k is

1.  √23 sq unit

2.  √21 sq unit

3.  √29 sq unit

4.  √33 sq unit

4

√29 sq unit

Explanation :
No Explanation available for this question

# If y sin x=x + y, then dy/dxα→0 is equal to:

1.  1

2.  -1

3.  0

4.  2

4

-1

Explanation :
No Explanation available for this question

# The coefficient of x3y4z5 in the expansion of (xy+yz+zx)6 is:

1.  70

2.  60

3.  50

4.  none of these

4

60

Explanation :
No Explanation available for this question

# A tower, of x meters high, has a flagstaff at its top. The tower and the flagstaff subtend equal angles at a point distant y meters from the foot of the tower. Then the length of the flagstaff in meters is:

1.  y(x2-y2) / (x2+y2)

2.  x(y2+x2) / (y2-x2)

3.  x(x2+y2) / (x2-y2)

4.  x(x2-y2) / (x2+y2)

4

x(y<sup>2</sup>+x<sup>2</sup>) / (y<sup>2</sup>-x<sup>2</sup>)

Explanation :
No Explanation available for this question

# If the vector

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# is equal to:

1.  0

2.  1

3.  x+y+z

4.  1+x+y+z

4

0

Explanation :
No Explanation available for this question

1.  8/5

2.  5/8

3.  -8/5

4.  -5/8

4

-8/5

Explanation :
No Explanation available for this question

1.  3/2

2.  3

3.  -3

4.  0

4