Vector, lines, planes

What is the answer when you take dot product between two vectors?

• a vector

• a scalar

• a vector and scalar

• nothing

What operation you need to find an angle between two vectors?

• Dot product between the two vectors

• Dot product between the two vectors divide the magnitude of both vectors

• Cosine inverse of dot product between the two vectors divide the magnitude of both vectors

• Cross product between the two vectors

What do you need to get an equation of a line?

• A parallel vector

• A perpendicular vector

• A point on the line

• A parallel vector to the line and a point on the line

What do you need to get an equation of a plane?

• A point

• A normal vector to the plane

• A point on the plane

• An normal vector to the plane and a point on the plane

Which of the following is not a type of equation of a line?

• Symmetric equation

• Parametric equation

• Vector component form

• Point normal form

The scalar product of u and v is zero, therefore...

• vectors u and v are parallel

• vectors u and v are perpendicular

• vectors u and v are equal

• vectors u and v are multiples

Given points are A(3;2) and B(5;-1). What are the coordinates of the AB vector?

• (-2; 3)

• (-2; -3)

• (2; -3)

• (2; 3)

How long is the AB(6;8) vector?

• 10

• 11

• 12

• 6,21

Write the equation of a line in vector form that goes through (-1, 2) and (3, 9).

• P=〈4, 7〉 + t〈-1, 2〉
• P=〈-1, 2〉 + t〈2, 11〉
• P=〈-1, 2〉 + t〈7, 4〉
• P=〈-1, 2〉 + t〈4, 7〉

Find the determinant of the following matrix.

• -7

• 7

• -23

• 23

Tags

CCSS.HSN.VM.C.12