Mashaal Masha
Mashaal Masha
 Oct 08, 2022
0

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Choose the correct options for the following questions.
Find a unit vector in the direction of the vector $v=3i-4j$
Difficulty: Easy
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A:
$i-j$
B:
$\frac{3}{5}i- \frac{4}{5}j$
C:
$\frac{1}{3}i- \frac{1}{4}j$
D:
$\frac{3}{12}i- \frac{4}{12}j$
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If u=ai+2j-k and v=i+aj+3k are perpendicular, then a=
Difficulty: Easy
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A:
1
B:
2
C:
3
D:
-3

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If u=2ai+j-k and v=i+aj+4k are perpendicular then a=
Difficulty: Easy
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A:
4
B:
1/2
C:
3
D:
4/3
The angle between the vectors u=[-3,5] and v=[6,-2] is:
Difficulty: Easy
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A:
$-\frac{\pi}{2}$
B:
$-\frac{3\pi}{2}$
C:
$\pi$
D:
None
If the angle between the vectors u and v is $\frac{\pi}{2}$ then the vectors u and v are:
Difficulty: Easy
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A:
Orthogonal
B:
Collinear
C:
Parallel
D:
All

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If the angle between two vectors u and v is 0 or $\pi$, then the vectors u and v are:
Difficulty: Easy
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A:
Orthogonal
B:
Collinear
C:
Perpendicular
D:
None
The angle between the vectors u=2i-j+k and v=-i+j is:
Difficulty: Easy
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A:
$\frac{3\pi}{2}$
B:
$\frac{2\pi}{3}$
C:
$\frac{5\pi}{6}$
D:
$\frac{\pi}{3}$
If u=2i+pj+5k and v=3i+j+pk are perpendicular, then p=
Difficulty: Easy
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A:
1
B:
2
C:
-1
D:
-3

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The position vector OP in the YZ plane is:
Difficulty: Easy
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A:
OP=yj+zk
B:
OP=xi+yj
C:
OP=xi+zk
D:
OP=zi+yk
If the sum of two unit vectors is a unit vector then the magnitude of their difference is:
Difficulty: Easy
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A:
$\sqrt{2}$
B:
$\sqrt{3}$
C:
1
D:
None

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