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Home
NUST Entrance Test
Mathematics
Vectors

Set 1

Mashaal Masha

Oct 08, 2022

0

Table of Contents

$Find a unit vector in the direction of the vector $v=3i-4j$$
$If u=ai+2j-k and v=i+aj+3k are perpendicular, then a=$
$If u=2ai+j-k and v=i+aj+4k are perpendicular then a=$
$The angle between the vectors u=[-3,5] and v=[6,-2] is:$
$If the angle between the vectors u and v is $\frac{\pi}{2}$ then the vectors u and v are:$
$If the angle between two vectors u and v is 0 or $\pi$, then the vectors u and v are:$
$The angle between the vectors u=2i-j+k and v=-i+j is:$
$If u=2i+pj+5k and v=3i+j+pk are perpendicular, then p=$
$The position vector OP in the YZ plane is:$
$If the sum of two unit vectors is a unit vector then the magnitude of their difference is:$

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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

Bookmark

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

View Solution Steps

If u=ai+2j-k and v=i+aj+3k are perpendicular, then a=

Difficulty: Easy

Bookmark

A:

1

B:

2

C:

3

D:

-3