# Quiz 4 (vectors)

12 Questions

Settings

This is a vectors quiz. There are altogether 12 questions; maximum recommended time limit for completion is 6 minutes (or 30 seconds per question). NO CALCULATORS SHALL BE USED. Peace. A WHITE GROUP MATHEMATICS CREATION (www. Whitegroupmaths. Com)

• 1.
• A.

143

• B.

235

• C.

-146

• D.

-278

• 2.
Are points A, B and C represented by and collinear?
• A.

Yes

• B.

No

• 3.
The foot of the perpendicular from the point to the line with equation is given by .
• A.

True

• B.

False

• 4.
Denoting O as the origin, what is the area of the triangle OAB if points A and B are represented by and respectively?
• A.

32 sq units

• B.

42 sq units

• C.

72 sq units

• D.

92 sq units

• 5.
If ABCD is a parallelogram described in the counter-clockwise sense, and points A, B and C are represented by - i +2j +4k,  -2i +2j +k  and  3i +2j +2k respectively, what is point D?
• A.

4i-2j+5k

• B.

4i+2j+5k

• C.

-4i+j+3k

• D.

4i+4j+5k

• 6.
If lines and   are defined by the equations   and  respectively, what is the equation of the line of intersection of and ?
• A.
• B.
• C.
• D.
• 7.
What is the distance between the two planes defined by equations x+2y+2z = 9  and  x+2y+2z = -3 ?
• A.

12 units

• B.

6 units

• C.

3 units

• D.

4 units

• 8.
What is the shortest distance between the two planes defined by equations x+2y+2z=3  and 2x-2y+z =9?
• A.

2 units

• B.

0 units

• C.

4 units

• D.

6 units

• 9.
Does the line with equation lie on the plane with equation
• A.

Yes

• B.

No

• 10.
What is the acute angle between the planes defined by equations x+8y+5z = 4  and  -4x-5y +7z =0 ?
• A.
• B.
• C.
• D.

90 degrees

• 11.
What is the direction vector of the acute angular bisector of the lines   and
• A.

2i+j-k

• B.

I+j+k

• C.

I-2j+4k

• D.

J+2k

• 12.
The origin lies on the line with equation .
• A.

True

• B.

False

Related Topics