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Chapter 1: Q12P (page 39)

Figure 1.55 shows several arrows representing vectors in the xy plane. (a) Which vectors have magnitudes equal to the magnitude of a鈬赌? (b) Which vectors are equal to a鈬赌?

Short Answer

Expert verified

(a) Vectors and have same magnitude as .

(b) Vectors and are equal to .

Step by step solution

01

Magnitude and direction of vectors 

While comparing magnitude of vectors, one can compare the length of the rays.To check equality of vectors, both direction and length of rays must be same.

02

Finding vectors whose magnitude is same as 

(a)

By looking at the figure, it is clear that vectors c鈬赌,e鈬赌and f鈬赌have same magnitude as of vector a鈬赌. This is because the three rays representing these vectors have same length as that of vectora鈬赌 .

Therefore, the vectors c鈬赌,e鈬赌and f鈬赌have same magnitude as a鈬赌.

03

Finding vectors equal to a⇀ 

(b)

It is clearly evident from the figure that vectors c鈬赌and f鈬赌have same direction and magnitude as of vector a鈬赌. So, both these are equal to vector a鈬赌.

Therefore, the vectors c鈬赌and f鈬赌are equal to a鈬赌.

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