Multiple ChoiceIf vectors v⃗=⟨4,3⟩v ⃗=⟨4,3⟩v⃗=⟨4,3⟩ and u⃗=⟨9,1⟩u ⃗=⟨9,1⟩u⃗=⟨9,1⟩, calculate v⃗⋅u⃗v ⃗⋅u ⃗v⃗⋅u⃗.81views
Multiple ChoiceIf vectors v⃗=12ı^v⃗=12îv⃗=12ı^ and u⃗=100ȷ^u⃗=100ĵu⃗=100ȷ^, calculate u⃗⋅v⃗u ⃗⋅v ⃗u⃗⋅v⃗.88views
Multiple ChoiceIf vectors a⃗=13ı^a⃗=13îa⃗=13ı^, ⃗b⃗=5ı^−12ȷ^⃗b⃗=5î-12ĵ⃗b⃗=5ı^−12ȷ^, and c⃗=24ȷ^c⃗=24ĵc⃗=24ȷ^, calculate b⃗⋅(a⃗−c⃗)b ⃗⋅(a ⃗-c ⃗)b⃗⋅(a⃗−c⃗).82views
Multiple ChoiceIf vectors ∣a⃗∣=3|a⃗|=3∣a⃗∣=3 and ∣b⃗∣=7|b⃗|=7∣b⃗∣=7, and a⃗⋅b⃗=14.85a⃗\cdot b⃗=14.85a⃗⋅b⃗=14.85, determine the angle between vectors a⃗a ⃗a⃗ and b⃗b ⃗b⃗.81views
Multiple ChoiceIf vectors a⃗=4ı^a⃗=4îa⃗=4ı^ and b⃗=3ı^−2ȷ^b⃗=3î-2ĵb⃗=3ı^−2ȷ^, determine the angle between vectors a⃗a ⃗a⃗ and b⃗b ⃗b⃗.86views
Multiple ChoiceIf vectors ∣v⃗∣=12|v ⃗ |=12∣v⃗∣=12, ∣u⃗∣=100|u ⃗ |=100 ∣u⃗∣=100 and the angle between v⃗v ⃗v⃗ & u⃗u ⃗u⃗ is θ=π6\theta=\frac{\pi}{6}θ=6π, calculate v⃗⋅u⃗v ⃗⋅u ⃗v⃗⋅u⃗ .89views
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = 3i + j, w = i + 3j199views
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = 5i - 4j, w = -2i - j164views
Textbook QuestionIn Exercises 1–8, use the given vectors to find v⋅w and v⋅v. v = -6i - 5j, w = -10i - 8j216views
Textbook QuestionIn Exercises 5–8, let v = -5i + 2j and w = 2i - 4j Find the specified vector, scalar, or angle. v ⋅ w156views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.〈2, 1〉, 〈-3, 1〉 174views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.〈4, 0〉, 〈2, 2〉 118views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.〈1, 6〉, 〈-1, 7〉 128views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.3i + 4j, j146views
Textbook QuestionFind the angle between each pair of vectors. Round to two decimal places as necessary.2i + 2j, -5i - 5j146views
Textbook QuestionIn Exercises 5–8, let v = -5i + 2j and w = 2i - 4j Find the specified vector, scalar, or angle. projᵥᵥv150views
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. u ⋅ (v + w)295views
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. u ⋅ v + u ⋅ w161views
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. (4u) ⋅ v229views
Textbook QuestionIn Exercises 9–16, let u = 2i - j, v = 3i + j, and w = i + 4j. Find each specified scalar. 4(u ⋅ v)164views
Textbook QuestionIn Exercises 17–22, find the angle between v and w. Round to the nearest tenth of a degree. v = 2i - j, w = 3i + 4j211views
Textbook QuestionIn Exercises 17–22, find the angle between v and w. Round to the nearest tenth of a degree. v = -3i + 2j, w = 4i - j201views
Textbook QuestionIn Exercises 17–22, find the angle between v and w. Round to the nearest tenth of a degree. v = 6i, w = 5i + 4j224views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = i + j, w = i - j264views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 2i + 8j, w = 4i - j202views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 2i - 2j, w = -i + j168views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 3i, w = -4i191views
Textbook QuestionIn Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 3i, w = -4j254views
Textbook QuestionIn Exercises 33–38, find projᵥᵥ v. Then decompose v into two vectors, v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w. v = 3i - 2j, w = i - j176views
Textbook QuestionIn Exercises 33–38, find projᵥᵥ v. Then decompose v into two vectors, v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w. v = i + 3j, w = -2i + 5j167views
Textbook QuestionIn Exercises 33–38, find projᵥᵥ v. Then decompose v into two vectors, v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w. v = i + 2j, w = 3i + 6j231views
Textbook QuestionIn Exercises 37–39, find the dot product v ⋅ w. Then find the angle between v and w to the nearest tenth of a degree. v = 2i + 4j, w = 6i - 11j151views
Textbook QuestionIn Exercises 39–42, let u = -i + j, v = 3i - 2j, and w = -5j. Find each specified scalar or vector. 5u ⋅ (3v - 4w)187views
Textbook QuestionIn Exercises 40–41, use the dot product to determine whether v and w are orthogonal. v = 12i - 8j, w = 2i + 3j147views
Textbook QuestionIn Exercises 39–42, let u = -i + j, v = 3i - 2j, and w = -5j. Find each specified scalar or vector. projᵤ (v + w)173views
Textbook QuestionIn Exercises 42–43, find projᵥᵥv. Then decompose v into two vectors, v₁ and v₂ where v₁ is parallel to w and v₂ is orthogonal to w. v = -2i + 5j, w = 5i + 4j163views
Textbook QuestionIn Exercises 43–44, find the angle, in degrees, between v and w. v = 2 cos 4𝜋 i + 2 sin 4𝜋 j, w = 3 cos 3𝜋 i + 3 sin 3𝜋 j 3 3 2 2165views
Textbook QuestionIn Exercises 45–50, determine whether v and w are parallel, orthogonal, or neither. v = 3i - 5j, w = 6i - 10j152views
Textbook QuestionIn Exercises 45–50, determine whether v and w are parallel, orthogonal, or neither. v = 3i - 5j, w = 6i + 10j166views1rank
Textbook QuestionIn Exercises 45–50, determine whether v and w are parallel, orthogonal, or neither. v = 3i - 5j, w = 6i + 18 j 5222views