Vectors - component form, magnitude, and direction

Which statement describes a vector?

• It has magnitude but no direction
• It has direction but no magnitude
• It has both direction and magnitude
• It has constant magnitude but no
   direction

Tags

CCSS.HSN.VM.A.1

Find the magnitude of the vector <-4, -6>.

• 7.211
• 52
• 3.162
• 4.472

Tags

CCSS.HSN.VM.A.1

Find the direction of vector <6,5>.

• 219⁰
• 39⁰
• 129⁰
• 309⁰

Tags

CCSS.HSN.VM.A.1

the magnitude (or length) of u. If necessary, leave as a square root.

• √63
• 3
• √65
• 9

Tags

CCSS.HSN.VM.A.1

the direction (θ) for vector v. Round to three decimals.

• -74.054^o
• 105.945^o
• -15.945^o
• 164.055^o

Tags

CCSS.HSN.VM.A.1

3u-4v

• <5, -4>
• <2,56>
• <-3,32>
• <11,-4>

|u|, the magnitude of u. Round to three decimal places, if necessary.

• 13
• 8.944
• 8
• 14.422

Tags

CCSS.HSN.VM.A.1

|v|, the magnitude of v. Round to three decimals, if necessary.

• 8
• 13
• 14.422
• 8.944

Tags

CCSS.HSN.VM.A.1

Find the component form of the vector. Round to three decimals.

• <16.116, 7.798>
• <16.298, 7.335>
• <16.892, 7.530>
• <16.314, 7.607>

Tags

CCSS.HSN.VM.A.2

Find the component form of the vector. Round to three decimals.

• <11.468, 8.030>
• <8.030, 11.468>
• <8.934, 11.873>
• <11.873, 8.934>

Tags

CCSS.HSN.VM.A.2