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Multiple Choice

What is the concept of multiplying a scalar with a vector?

• It changes the direction of the vector

• It changes the magnitude of the vector

• It does not affect the vector

• It adds another vector

Open Ended

Có nhận xét gì về phương, chiều và độ dài của hai vectơ vận tốc này?

Multiple Choice

What is the significance of the scalar multiplication of a vector represented as k * a?

• It changes the direction of the vector

• It changes the magnitude of the vector

• It has no effect on the vector

• It makes the vector zero

Fill in the Blanks

Multiple Choice

What is the condition for two vectors \( \vec{a} \) and \( \vec{b} \) to be collinear?

• They must be equal

• They must be perpendicular

• They must be scalar multiples of each other

• They must be non-zero

Multiple Choice

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

• 4
• 8
• 12
• Not Enough Information

Multiple Choice

Which of the following statements is correct regarding the triangle ABC with centroid G?

• AM = 3GM

• GA + GB + GC = 0

• MA + MB + MC = 3MG

• AG = 2/3AM

Multiple Choice

Given a square ABCD with center O and side length a, find the length of the vectors as follows: 1. u = AB + AD 2. v = AC + BD 3. w = MA + MC

• u = a

• v = 2a

• w = a/2

• u = av^2

Multiple Choice

What is the formula for balancing forces in a beam?

• P1 . OA + P2 . OB = 0

• P1 + P2 = 0

• P1 - P2 = 0

• P1 + P2 + O = 0

Multiple Choice

Two forces with magnitudes of 250 pounds, and 200 pounds act on an object at angles of 50° and -40° respectively. Find the component form of the resultant Force.

• <313.91, 62.95>
• 320.16 pounds
• 450 pounds
• 11.34°

Poll

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