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What is the angle phi between veca = 3....

What is the angle `phi` between ` veca = 3.0 hati - 4.0 hatj and vecb =-2.0hati+ 3.0hatk`?

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To find the angle \( \phi \) between the vectors \( \vec{a} = 3.0 \hat{i} - 4.0 \hat{j} \) and \( \vec{b} = -2.0 \hat{i} + 3.0 \hat{k} \), we can use the dot product formula: \[ \vec{a} \cdot \vec{b} = |\vec{a}| |\vec{b}| \cos \phi \] ### Step 1: Calculate the dot product \( \vec{a} \cdot \vec{b} \) ...
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Two vectors are presented as veca = 3.0 hati + 5.0 hatj and vecb = 2. 0 hati + 4.0 hatj. Find (a) vec a xx vecb , (b) veca. vecb ,(c ) (veca + vecb).vecb ,

Calculate the sine of the angle between the vectors vecA=3hati-4hatj+5hatk and vecB=-2hati+hatj-2hatk .

(a) In unit -vector notation, what is the sum veca + vecb if veca = (4.0 cm) hati + (3.0) hatj and vecb = (-13.0 m ) hati + (7.0 m) hatj ? What are the (b) magnitude and (c ) direction of veca + vecb ?

There vectors are given by veca = 3. 0 hati + 3. 0 hatj - 2 .0hatk, vecb=-1 . 0hati - 4. 0hatj + 2.0hatk and vecc=2.0hati + 2.0hatj + 1.0hatk. Find (a) veca (vecbxx vecc), (b) veca.(vecb+vecc), and © veca xx (vecb + vecc).

Find the angle 'theta' between the vector veca=2hati+3hatj-4hatk and vecb=3hati-2hatj+4hatk .

Find the sine of the angle between the vectors veca=2hati-hatj+3hatk and vecb=hati+3hatj+2hatk .

Find the vector of magnitude 3, bisecting the angle between the vectors veca=2hati+hatj-hatk and vecb=hati-2hatj+hatk .

If angle between veca = hati - 2hatj + 3hatk and vecb = 2hati + hatj +hatk is theta then the value of sin theta is

What is the area of the triangle formed by sides vecA = 2hati -3hatj + 4 hatk and vecB= hati - hatk

Calculate the angle between the two vectors vecA=-2hati+hatj-3hatk and vecB =hati-2hatj+hatk

RESNICK AND HALLIDAY-VECTORS -PRACTICE QUESTIONS
  1. What is the angle phi between veca = 3.0 hati - 4.0 hatj and vecb =-2...

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  2. Which one of the following statements is true concerning scalar quanti...

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  3. Which one of the following quantities is a vector quantity ?

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  4. Which one of the following statements concerning vectors and scalars i...

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  5. 12 coplanar non collinear forces (all of equal magnitude) maintain a b...

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  6. If vectors vecA = hati + 2 hatj + 4 hatk and vecB = 5 hati represent t...

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  7. mark the correct statement .

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  8. Two vectors A and B, are added together to form the vector C = A+B. Th...

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  9. Three vectors A, B, and C add together to yield zero : A + B + C =0. T...

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  10. If vector vecC is added to vector vecD, the results is a third vector ...

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  11. Given that vecA + 2 vecB= x(1) hat j 2 vecA - vecB = x (2) hati + y(2...

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  12. A vector vecA ur is rotated by a small angle triangletheta radian (tri...

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  13. The vector vecA has components + 5 and + 7 along the x-axes and y-axes...

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  14. In a two-dimensional motion of a particle, the particle moves from poi...

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  15. Each of two vectors vecD (1) and vecD (2) lies along a coordinamte axi...

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  16. Town A lies 20 km north of town B. Town C lies 13 km west of town A.A ...

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  17. A force F (1), of magnitude 2.0N and directed due east is exerted on a...

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  18. A race car will make one lap around a circular track of radius R. When...

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  19. what is the direction of his total displacemetn vector with respect to...

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  20. Consider the following four force vectors: vecF(1) = 50.0N, due east...

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  21. Two bicyclists, starting at the same place, are riding toward the same...

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